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Finding the Fourth Proportional to 31,930.97, 47,882.05 and 9,747.05

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Solution

The fourth proportional to 31,930.97, 47,882.05 and 9,747.05 is: 14,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930.97 : 47,882.05 = 9,747.05 : x
  2. Step 2: Convert to fraction form
    31,930.97/47,882.05 = 9,747.05/x
  3. Step 3: Cross multiply
    31,930.97x = 47,882.05 × 9,747.05
  4. Step 4: Simplify right side
    31,930.97x = 466,708,471.67
  5. Step 5: Solve for x
    x = 466,708,471.67/31,930.97
  6. Step 6: Final answer
    x = 14,616.17

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Why These Related Problems?

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