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Finding the Fourth Proportional to 31,892.43, 47,841.09 and 9,707.70

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Solution

The fourth proportional to 31,892.43, 47,841.09 and 9,707.70 is: 14,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.43 : 47,841.09 = 9,707.70 : x
  2. Step 2: Convert to fraction form
    31,892.43/47,841.09 = 9,707.70/x
  3. Step 3: Cross multiply
    31,892.43x = 47,841.09 × 9,707.70
  4. Step 4: Simplify right side
    31,892.43x = 464,426,949.39
  5. Step 5: Solve for x
    x = 464,426,949.39/31,892.43
  6. Step 6: Final answer
    x = 14,562.29

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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.