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Finding the Fourth Proportional to 31,972.84, 47,952.78 and 10,901.46

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Solution

The fourth proportional to 31,972.84, 47,952.78 and 10,901.46 is: 16,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972.84 : 47,952.78 = 10,901.46 : x
  2. Step 2: Convert to fraction form
    31,972.84/47,952.78 = 10,901.46/x
  3. Step 3: Cross multiply
    31,972.84x = 47,952.78 × 10,901.46
  4. Step 4: Simplify right side
    31,972.84x = 522,755,073.29
  5. Step 5: Solve for x
    x = 522,755,073.29/31,972.84
  6. Step 6: Final answer
    x = 16,349.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.