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Finding the Fourth Proportional to 39,519.92, 54,512.56 and 27,578.90

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Solution

The fourth proportional to 39,519.92, 54,512.56 and 27,578.90 is: 38,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,519.92 : 54,512.56 = 27,578.90 : x
  2. Step 2: Convert to fraction form
    39,519.92/54,512.56 = 27,578.90/x
  3. Step 3: Cross multiply
    39,519.92x = 54,512.56 × 27,578.90
  4. Step 4: Simplify right side
    39,519.92x = 1,503,396,508.32
  5. Step 5: Solve for x
    x = 1,503,396,508.32/39,519.92
  6. Step 6: Final answer
    x = 38,041.48

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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.