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Finding the Fourth Proportional to 83,451.92, 125,178.12 and 24,289

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Solution

The fourth proportional to 83,451.92, 125,178.12 and 24,289 is: 36,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,451.92 : 125,178.12 = 24,289 : x
  2. Step 2: Convert to fraction form
    83,451.92/125,178.12 = 24,289/x
  3. Step 3: Cross multiply
    83,451.92x = 125,178.12 × 24,289
  4. Step 4: Simplify right side
    83,451.92x = 3,040,451,356.68
  5. Step 5: Solve for x
    x = 3,040,451,356.68/83,451.92
  6. Step 6: Final answer
    x = 36,433.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.