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Finding the Fourth Proportional to 29,167.70, 43,758.51 and 9,446.30

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Solution

The fourth proportional to 29,167.70, 43,758.51 and 9,446.30 is: 14,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,167.70 : 43,758.51 = 9,446.30 : x
  2. Step 2: Convert to fraction form
    29,167.70/43,758.51 = 9,446.30/x
  3. Step 3: Cross multiply
    29,167.70x = 43,758.51 × 9,446.30
  4. Step 4: Simplify right side
    29,167.70x = 413,356,013.01
  5. Step 5: Solve for x
    x = 413,356,013.01/29,167.70
  6. Step 6: Final answer
    x = 14,171.70

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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.