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Finding the Fourth Proportional to 80,500.16, 111,022 and 51,824.80

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Solution

The fourth proportional to 80,500.16, 111,022 and 51,824.80 is: 71,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,500.16 : 111,022 = 51,824.80 : x
  2. Step 2: Convert to fraction form
    80,500.16/111,022 = 51,824.80/x
  3. Step 3: Cross multiply
    80,500.16x = 111,022 × 51,824.80
  4. Step 4: Simplify right side
    80,500.16x = 5,753,692,945.60
  5. Step 5: Solve for x
    x = 5,753,692,945.60/80,500.16
  6. Step 6: Final answer
    x = 71,474.30

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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.