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Finding the Fourth Proportional to 80,475.90, 120,713.85 and 50,538.30

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Solution

The fourth proportional to 80,475.90, 120,713.85 and 50,538.30 is: 75,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,475.90 : 120,713.85 = 50,538.30 : x
  2. Step 2: Convert to fraction form
    80,475.90/120,713.85 = 50,538.30/x
  3. Step 3: Cross multiply
    80,475.90x = 120,713.85 × 50,538.30
  4. Step 4: Simplify right side
    80,475.90x = 6,100,672,765.46
  5. Step 5: Solve for x
    x = 6,100,672,765.46/80,475.90
  6. Step 6: Final answer
    x = 75,807.45

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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.