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Finding the Fourth Proportional to 42,402.62, 58,511.23 and 24,503.38

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Solution

The fourth proportional to 42,402.62, 58,511.23 and 24,503.38 is: 33,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,402.62 : 58,511.23 = 24,503.38 : x
  2. Step 2: Convert to fraction form
    42,402.62/58,511.23 = 24,503.38/x
  3. Step 3: Cross multiply
    42,402.62x = 58,511.23 × 24,503.38
  4. Step 4: Simplify right side
    42,402.62x = 1,433,722,695.42
  5. Step 5: Solve for x
    x = 1,433,722,695.42/42,402.62
  6. Step 6: Final answer
    x = 33,812.12

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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.