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Finding the Fourth Proportional to 29,892.70, 44,839.05 and 9,116.20

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Solution

The fourth proportional to 29,892.70, 44,839.05 and 9,116.20 is: 13,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,892.70 : 44,839.05 = 9,116.20 : x
  2. Step 2: Convert to fraction form
    29,892.70/44,839.05 = 9,116.20/x
  3. Step 3: Cross multiply
    29,892.70x = 44,839.05 × 9,116.20
  4. Step 4: Simplify right side
    29,892.70x = 408,761,747.61
  5. Step 5: Solve for x
    x = 408,761,747.61/29,892.70
  6. Step 6: Final answer
    x = 13,674.30

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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.