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Finding the Fourth Proportional to 80,417.31, 120,586.87 and 24,247

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Solution

The fourth proportional to 80,417.31, 120,586.87 and 24,247 is: 36,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,417.31 : 120,586.87 = 24,247 : x
  2. Step 2: Convert to fraction form
    80,417.31/120,586.87 = 24,247/x
  3. Step 3: Cross multiply
    80,417.31x = 120,586.87 × 24,247
  4. Step 4: Simplify right side
    80,417.31x = 2,923,869,836.89
  5. Step 5: Solve for x
    x = 2,923,869,836.89/80,417.31
  6. Step 6: Final answer
    x = 36,358.71

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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.