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Finding the Fourth Proportional to 29,502.38, 44,227 and 10,769.27

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Solution

The fourth proportional to 29,502.38, 44,227 and 10,769.27 is: 16,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,502.38 : 44,227 = 10,769.27 : x
  2. Step 2: Convert to fraction form
    29,502.38/44,227 = 10,769.27/x
  3. Step 3: Cross multiply
    29,502.38x = 44,227 × 10,769.27
  4. Step 4: Simplify right side
    29,502.38x = 476,292,504.29
  5. Step 5: Solve for x
    x = 476,292,504.29/29,502.38
  6. Step 6: Final answer
    x = 16,144.21

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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.