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Finding the Fourth Proportional to 80,512.14, 120,729.24 and 33,752.46

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Solution

The fourth proportional to 80,512.14, 120,729.24 and 33,752.46 is: 50,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,512.14 : 120,729.24 = 33,752.46 : x
  2. Step 2: Convert to fraction form
    80,512.14/120,729.24 = 33,752.46/x
  3. Step 3: Cross multiply
    80,512.14x = 120,729.24 × 33,752.46
  4. Step 4: Simplify right side
    80,512.14x = 4,074,908,843.93
  5. Step 5: Solve for x
    x = 4,074,908,843.93/80,512.14
  6. Step 6: Final answer
    x = 50,612.35

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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.