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Finding the Fourth Proportional to 83,067.20, 124,629.60 and 36,353.60

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Solution

The fourth proportional to 83,067.20, 124,629.60 and 36,353.60 is: 54,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,067.20 : 124,629.60 = 36,353.60 : x
  2. Step 2: Convert to fraction form
    83,067.20/124,629.60 = 36,353.60/x
  3. Step 3: Cross multiply
    83,067.20x = 124,629.60 × 36,353.60
  4. Step 4: Simplify right side
    83,067.20x = 4,530,734,626.56
  5. Step 5: Solve for x
    x = 4,530,734,626.56/83,067.20
  6. Step 6: Final answer
    x = 54,543.00

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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.