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Finding the Fourth Proportional to 80,586.29, 120,850.83 and 23,644.30

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Solution

The fourth proportional to 80,586.29, 120,850.83 and 23,644.30 is: 35,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,586.29 : 120,850.83 = 23,644.30 : x
  2. Step 2: Convert to fraction form
    80,586.29/120,850.83 = 23,644.30/x
  3. Step 3: Cross multiply
    80,586.29x = 120,850.83 × 23,644.30
  4. Step 4: Simplify right side
    80,586.29x = 2,857,433,279.77
  5. Step 5: Solve for x
    x = 2,857,433,279.77/80,586.29
  6. Step 6: Final answer
    x = 35,458.06

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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.