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Finding the Fourth Proportional to 80,659.16, 120,964.46 and 38,517.50

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Solution

The fourth proportional to 80,659.16, 120,964.46 and 38,517.50 is: 57,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,659.16 : 120,964.46 = 38,517.50 : x
  2. Step 2: Convert to fraction form
    80,659.16/120,964.46 = 38,517.50/x
  3. Step 3: Cross multiply
    80,659.16x = 120,964.46 × 38,517.50
  4. Step 4: Simplify right side
    80,659.16x = 4,659,248,588.05
  5. Step 5: Solve for x
    x = 4,659,248,588.05/80,659.16
  6. Step 6: Final answer
    x = 57,764.66

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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.