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Finding the Fourth Proportional to 83,596.72, 125,414.22 and 36,219.70

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Solution

The fourth proportional to 83,596.72, 125,414.22 and 36,219.70 is: 54,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.72 : 125,414.22 = 36,219.70 : x
  2. Step 2: Convert to fraction form
    83,596.72/125,414.22 = 36,219.70/x
  3. Step 3: Cross multiply
    83,596.72x = 125,414.22 × 36,219.70
  4. Step 4: Simplify right side
    83,596.72x = 4,542,464,858.47
  5. Step 5: Solve for x
    x = 4,542,464,858.47/83,596.72
  6. Step 6: Final answer
    x = 54,337.83

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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.