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Finding the Fourth Proportional to 29,542.70, 44,304.45 and 9,817.90

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Solution

The fourth proportional to 29,542.70, 44,304.45 and 9,817.90 is: 14,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,542.70 : 44,304.45 = 9,817.90 : x
  2. Step 2: Convert to fraction form
    29,542.70/44,304.45 = 9,817.90/x
  3. Step 3: Cross multiply
    29,542.70x = 44,304.45 × 9,817.90
  4. Step 4: Simplify right side
    29,542.70x = 434,976,659.66
  5. Step 5: Solve for x
    x = 434,976,659.66/29,542.70
  6. Step 6: Final answer
    x = 14,723.66

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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.