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Finding the Fourth Proportional to 69,593.92, 96,033.12 and 39,382

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Solution

The fourth proportional to 69,593.92, 96,033.12 and 39,382 is: 54,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,593.92 : 96,033.12 = 39,382 : x
  2. Step 2: Convert to fraction form
    69,593.92/96,033.12 = 39,382/x
  3. Step 3: Cross multiply
    69,593.92x = 96,033.12 × 39,382
  4. Step 4: Simplify right side
    69,593.92x = 3,781,976,331.84
  5. Step 5: Solve for x
    x = 3,781,976,331.84/69,593.92
  6. Step 6: Final answer
    x = 54,343.49

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Why These Related Problems?

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