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Finding the Fourth Proportional to 39,147, 54,022.92 and 22,380.36

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Solution

The fourth proportional to 39,147, 54,022.92 and 22,380.36 is: 30,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,147 : 54,022.92 = 22,380.36 : x
  2. Step 2: Convert to fraction form
    39,147/54,022.92 = 22,380.36/x
  3. Step 3: Cross multiply
    39,147x = 54,022.92 × 22,380.36
  4. Step 4: Simplify right side
    39,147x = 1,209,052,397.85
  5. Step 5: Solve for x
    x = 1,209,052,397.85/39,147
  6. Step 6: Final answer
    x = 30,884.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.