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Finding the Fourth Proportional to 42,882.26, 59,177.79 and 24,019.38

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Solution

The fourth proportional to 42,882.26, 59,177.79 and 24,019.38 is: 33,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,882.26 : 59,177.79 = 24,019.38 : x
  2. Step 2: Convert to fraction form
    42,882.26/59,177.79 = 24,019.38/x
  3. Step 3: Cross multiply
    42,882.26x = 59,177.79 × 24,019.38
  4. Step 4: Simplify right side
    42,882.26x = 1,421,413,825.57
  5. Step 5: Solve for x
    x = 1,421,413,825.57/42,882.26
  6. Step 6: Final answer
    x = 33,146.90

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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.