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Finding the Fourth Proportional to 78,036.85, 107,691.22 and 44,046.78

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Solution

The fourth proportional to 78,036.85, 107,691.22 and 44,046.78 is: 60,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,036.85 : 107,691.22 = 44,046.78 : x
  2. Step 2: Convert to fraction form
    78,036.85/107,691.22 = 44,046.78/x
  3. Step 3: Cross multiply
    78,036.85x = 107,691.22 × 44,046.78
  4. Step 4: Simplify right side
    78,036.85x = 4,743,451,475.27
  5. Step 5: Solve for x
    x = 4,743,451,475.27/78,036.85
  6. Step 6: Final answer
    x = 60,784.76

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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.