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Finding the Fourth Proportional to 80,461.62, 120,590.29 and 36,086.58

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Solution

The fourth proportional to 80,461.62, 120,590.29 and 36,086.58 is: 54,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,461.62 : 120,590.29 = 36,086.58 : x
  2. Step 2: Convert to fraction form
    80,461.62/120,590.29 = 36,086.58/x
  3. Step 3: Cross multiply
    80,461.62x = 120,590.29 × 36,086.58
  4. Step 4: Simplify right side
    80,461.62x = 4,351,691,147.31
  5. Step 5: Solve for x
    x = 4,351,691,147.31/80,461.62
  6. Step 6: Final answer
    x = 54,084.06

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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.