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Finding the Fourth Proportional to 31,541.49, 47,304.17 and 9,349.68

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Solution

The fourth proportional to 31,541.49, 47,304.17 and 9,349.68 is: 14,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,541.49 : 47,304.17 = 9,349.68 : x
  2. Step 2: Convert to fraction form
    31,541.49/47,304.17 = 9,349.68/x
  3. Step 3: Cross multiply
    31,541.49x = 47,304.17 × 9,349.68
  4. Step 4: Simplify right side
    31,541.49x = 442,278,805.42
  5. Step 5: Solve for x
    x = 442,278,805.42/31,541.49
  6. Step 6: Final answer
    x = 14,022.13

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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.