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Finding the Fourth Proportional to 80,302.70, 120,453.68 and 24,142.56

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Solution

The fourth proportional to 80,302.70, 120,453.68 and 24,142.56 is: 36,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,302.70 : 120,453.68 = 24,142.56 : x
  2. Step 2: Convert to fraction form
    80,302.70/120,453.68 = 24,142.56/x
  3. Step 3: Cross multiply
    80,302.70x = 120,453.68 × 24,142.56
  4. Step 4: Simplify right side
    80,302.70x = 2,908,060,196.62
  5. Step 5: Solve for x
    x = 2,908,060,196.62/80,302.70
  6. Step 6: Final answer
    x = 36,213.73

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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.