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Finding the Fourth Proportional to 29,165.60, 43,754.78 and 9,446.15

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Solution

The fourth proportional to 29,165.60, 43,754.78 and 9,446.15 is: 14,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,165.60 : 43,754.78 = 9,446.15 : x
  2. Step 2: Convert to fraction form
    29,165.60/43,754.78 = 9,446.15/x
  3. Step 3: Cross multiply
    29,165.60x = 43,754.78 × 9,446.15
  4. Step 4: Simplify right side
    29,165.60x = 413,314,215.10
  5. Step 5: Solve for x
    x = 413,314,215.10/29,165.60
  6. Step 6: Final answer
    x = 14,171.29

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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.