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Finding the Fourth Proportional to 80,418.10, 120,592.10 and 27,100.14

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Solution

The fourth proportional to 80,418.10, 120,592.10 and 27,100.14 is: 40,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,418.10 : 120,592.10 = 27,100.14 : x
  2. Step 2: Convert to fraction form
    80,418.10/120,592.10 = 27,100.14/x
  3. Step 3: Cross multiply
    80,418.10x = 120,592.10 × 27,100.14
  4. Step 4: Simplify right side
    80,418.10x = 3,268,062,205.17
  5. Step 5: Solve for x
    x = 3,268,062,205.17/80,418.10
  6. Step 6: Final answer
    x = 40,638.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.