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Finding the Fourth Proportional to 83,201.32, 124,793.34 and 27,793

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Solution

The fourth proportional to 83,201.32, 124,793.34 and 27,793 is: 41,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,201.32 : 124,793.34 = 27,793 : x
  2. Step 2: Convert to fraction form
    83,201.32/124,793.34 = 27,793/x
  3. Step 3: Cross multiply
    83,201.32x = 124,793.34 × 27,793
  4. Step 4: Simplify right side
    83,201.32x = 3,468,381,298.62
  5. Step 5: Solve for x
    x = 3,468,381,298.62/83,201.32
  6. Step 6: Final answer
    x = 41,686.61

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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.