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Finding the Fourth Proportional to 39,142.91, 54,019.89 and 22,147.16

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Solution

The fourth proportional to 39,142.91, 54,019.89 and 22,147.16 is: 30,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,142.91 : 54,019.89 = 22,147.16 : x
  2. Step 2: Convert to fraction form
    39,142.91/54,019.89 = 22,147.16/x
  3. Step 3: Cross multiply
    39,142.91x = 54,019.89 × 22,147.16
  4. Step 4: Simplify right side
    39,142.91x = 1,196,386,876.91
  5. Step 5: Solve for x
    x = 1,196,386,876.91/39,142.91
  6. Step 6: Final answer
    x = 30,564.59

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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.