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Finding the Fourth Proportional to 80,414.40, 120,621.91 and 33,634.46

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Solution

The fourth proportional to 80,414.40, 120,621.91 and 33,634.46 is: 50,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,414.40 : 120,621.91 = 33,634.46 : x
  2. Step 2: Convert to fraction form
    80,414.40/120,621.91 = 33,634.46/x
  3. Step 3: Cross multiply
    80,414.40x = 120,621.91 × 33,634.46
  4. Step 4: Simplify right side
    80,414.40x = 4,057,052,807.02
  5. Step 5: Solve for x
    x = 4,057,052,807.02/80,414.40
  6. Step 6: Final answer
    x = 50,451.82

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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.