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Finding the Fourth Proportional to 29,177.46, 43,770.24 and 9,449.64

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Solution

The fourth proportional to 29,177.46, 43,770.24 and 9,449.64 is: 14,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,177.46 : 43,770.24 = 9,449.64 : x
  2. Step 2: Convert to fraction form
    29,177.46/43,770.24 = 9,449.64/x
  3. Step 3: Cross multiply
    29,177.46x = 43,770.24 × 9,449.64
  4. Step 4: Simplify right side
    29,177.46x = 413,612,744.61
  5. Step 5: Solve for x
    x = 413,612,744.61/29,177.46
  6. Step 6: Final answer
    x = 14,175.76

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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.