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Finding the Fourth Proportional to 33,715.92, 46,538.80 and 19,566

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Solution

The fourth proportional to 33,715.92, 46,538.80 and 19,566 is: 27,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,715.92 : 46,538.80 = 19,566 : x
  2. Step 2: Convert to fraction form
    33,715.92/46,538.80 = 19,566/x
  3. Step 3: Cross multiply
    33,715.92x = 46,538.80 × 19,566
  4. Step 4: Simplify right side
    33,715.92x = 910,578,160.80
  5. Step 5: Solve for x
    x = 910,578,160.80/33,715.92
  6. Step 6: Final answer
    x = 27,007.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.