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Finding the Fourth Proportional to 80,538, 111,105.96 and 51,847.36

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Solution

The fourth proportional to 80,538, 111,105.96 and 51,847.36 is: 71,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,538 : 111,105.96 = 51,847.36 : x
  2. Step 2: Convert to fraction form
    80,538/111,105.96 = 51,847.36/x
  3. Step 3: Cross multiply
    80,538x = 111,105.96 × 51,847.36
  4. Step 4: Simplify right side
    80,538x = 5,760,550,706.27
  5. Step 5: Solve for x
    x = 5,760,550,706.27/80,538
  6. Step 6: Final answer
    x = 71,525.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.