The weight of the child in the given question is 48 pounds.
Now we know that
1 pound = 0.4536 kg
Then 48 pounds = (0.4536 * 48) kg
= 21.77 kg
We also know from the given question that for kg of weight of the child, 10 mg of medicine is required.
Then
1 kg weight of child = 10 mg
22.77kg of the child = (22.77 * 10) mg
= 217.73 mg
So the amount of medicine required by the child is 217.73 mg.