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Finding the Fourth Proportional to 80,422.26, 120,472.50 and 48,383.64

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Solution

The fourth proportional to 80,422.26, 120,472.50 and 48,383.64 is: 72,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,422.26 : 120,472.50 = 48,383.64 : x
  2. Step 2: Convert to fraction form
    80,422.26/120,472.50 = 48,383.64/x
  3. Step 3: Cross multiply
    80,422.26x = 120,472.50 × 48,383.64
  4. Step 4: Simplify right side
    80,422.26x = 5,828,898,069.90
  5. Step 5: Solve for x
    x = 5,828,898,069.90/80,422.26
  6. Step 6: Final answer
    x = 72,478.67

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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.