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Finding the Fourth Proportional to 80,523.24, 120,825 and 36,181.68

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Solution

The fourth proportional to 80,523.24, 120,825 and 36,181.68 is: 54,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,523.24 : 120,825 = 36,181.68 : x
  2. Step 2: Convert to fraction form
    80,523.24/120,825 = 36,181.68/x
  3. Step 3: Cross multiply
    80,523.24x = 120,825 × 36,181.68
  4. Step 4: Simplify right side
    80,523.24x = 4,371,651,486
  5. Step 5: Solve for x
    x = 4,371,651,486/80,523.24
  6. Step 6: Final answer
    x = 54,290.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.