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Finding the Fourth Proportional to 80,575.92, 120,822.34 and 36,164.60

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Solution

The fourth proportional to 80,575.92, 120,822.34 and 36,164.60 is: 54,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,575.92 : 120,822.34 = 36,164.60 : x
  2. Step 2: Convert to fraction form
    80,575.92/120,822.34 = 36,164.60/x
  3. Step 3: Cross multiply
    80,575.92x = 120,822.34 × 36,164.60
  4. Step 4: Simplify right side
    80,575.92x = 4,369,491,597.16
  5. Step 5: Solve for x
    x = 4,369,491,597.16/80,575.92
  6. Step 6: Final answer
    x = 54,228.26

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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.