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Finding the Fourth Proportional to 80,522.66, 120,753.75 and 27,919.46

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Solution

The fourth proportional to 80,522.66, 120,753.75 and 27,919.46 is: 41,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,522.66 : 120,753.75 = 27,919.46 : x
  2. Step 2: Convert to fraction form
    80,522.66/120,753.75 = 27,919.46/x
  3. Step 3: Cross multiply
    80,522.66x = 120,753.75 × 27,919.46
  4. Step 4: Simplify right side
    80,522.66x = 3,371,379,492.98
  5. Step 5: Solve for x
    x = 3,371,379,492.98/80,522.66
  6. Step 6: Final answer
    x = 41,868.70

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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.