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Finding the Fourth Proportional to 83,420.62, 125,150.56 and 24,254.56

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Solution

The fourth proportional to 83,420.62, 125,150.56 and 24,254.56 is: 36,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,420.62 : 125,150.56 = 24,254.56 : x
  2. Step 2: Convert to fraction form
    83,420.62/125,150.56 = 24,254.56/x
  3. Step 3: Cross multiply
    83,420.62x = 125,150.56 × 24,254.56
  4. Step 4: Simplify right side
    83,420.62x = 3,035,471,766.55
  5. Step 5: Solve for x
    x = 3,035,471,766.55/83,420.62
  6. Step 6: Final answer
    x = 36,387.55

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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.