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Finding the Fourth Proportional to 39,538.53, 54,569.30 and 22,542.81

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Solution

The fourth proportional to 39,538.53, 54,569.30 and 22,542.81 is: 31,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538.53 : 54,569.30 = 22,542.81 : x
  2. Step 2: Convert to fraction form
    39,538.53/54,569.30 = 22,542.81/x
  3. Step 3: Cross multiply
    39,538.53x = 54,569.30 × 22,542.81
  4. Step 4: Simplify right side
    39,538.53x = 1,230,145,044.38
  5. Step 5: Solve for x
    x = 1,230,145,044.38/39,538.53
  6. Step 6: Final answer
    x = 31,112.56

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Why These Related Problems?

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