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Finding the Fourth Proportional to 56,766.32, 85,149.48 and 31,794.56

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Solution

The fourth proportional to 56,766.32, 85,149.48 and 31,794.56 is: 47,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,766.32 : 85,149.48 = 31,794.56 : x
  2. Step 2: Convert to fraction form
    56,766.32/85,149.48 = 31,794.56/x
  3. Step 3: Cross multiply
    56,766.32x = 85,149.48 × 31,794.56
  4. Step 4: Simplify right side
    56,766.32x = 2,707,290,250.83
  5. Step 5: Solve for x
    x = 2,707,290,250.83/56,766.32
  6. Step 6: Final answer
    x = 47,691.84

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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.