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Finding the Fourth Proportional to 80,536.84, 120,822.78 and 24,375.88

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Solution

The fourth proportional to 80,536.84, 120,822.78 and 24,375.88 is: 36,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,536.84 : 120,822.78 = 24,375.88 : x
  2. Step 2: Convert to fraction form
    80,536.84/120,822.78 = 24,375.88/x
  3. Step 3: Cross multiply
    80,536.84x = 120,822.78 × 24,375.88
  4. Step 4: Simplify right side
    80,536.84x = 2,945,161,586.55
  5. Step 5: Solve for x
    x = 2,945,161,586.55/80,536.84
  6. Step 6: Final answer
    x = 36,569.12

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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.