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Finding the Fourth Proportional to 39,882.38, 55,004.13 and 23,963.75

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Solution

The fourth proportional to 39,882.38, 55,004.13 and 23,963.75 is: 33,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,882.38 : 55,004.13 = 23,963.75 : x
  2. Step 2: Convert to fraction form
    39,882.38/55,004.13 = 23,963.75/x
  3. Step 3: Cross multiply
    39,882.38x = 55,004.13 × 23,963.75
  4. Step 4: Simplify right side
    39,882.38x = 1,318,105,151.53
  5. Step 5: Solve for x
    x = 1,318,105,151.53/39,882.38
  6. Step 6: Final answer
    x = 33,049.82

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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.