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Set up algebraically.
27/X = 71
multiply through by X
27 = 71X
divide both sides by 71
X = 27/71
check
27//27/71 = 71
now, 27 divided by 27/71 is the same as saying 27/1 * 71/27
27/1 * 71/27 = 71
27 cancels 27
71 = 71
checks