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Finding the Fourth Proportional to 42,593.76, 58,779 and 24,694.56

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Solution

The fourth proportional to 42,593.76, 58,779 and 24,694.56 is: 34,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,593.76 : 58,779 = 24,694.56 : x
  2. Step 2: Convert to fraction form
    42,593.76/58,779 = 24,694.56/x
  3. Step 3: Cross multiply
    42,593.76x = 58,779 × 24,694.56
  4. Step 4: Simplify right side
    42,593.76x = 1,451,521,542.24
  5. Step 5: Solve for x
    x = 1,451,521,542.24/42,593.76
  6. Step 6: Final answer
    x = 34,078.27

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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.