Those measures 48-52 etc, are just octaves with a note in the middle. I can just barely do a tenth on the edges of the white keys, and I can do those. If you can do a ninth I imagine you can do it. Back the bench out. Lean as necessary away from the the stretched hand to slant the arm out from the elbow and bring the thumb in to the front lip of the keys. Put finger 5 on the lip too. This slanted hand position pushes the index finger in towards the black keys, which you need. Then practice very very slowly, and don't allow yourself to make mistakes. The speed I practice is the speed of the worst measure in there, I don't speed up & slow down. You do have the hand drooping down from the elbow and the fingers curved naturally, don't you? this is the position that causes the least pain, read a factory/office ergnomics textbook about typing if you don't believe me.