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Finding the Fourth Proportional to 54,231.80, 81,382.26 and 23,067

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Solution

The fourth proportional to 54,231.80, 81,382.26 and 23,067 is: 34,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,231.80 : 81,382.26 = 23,067 : x
  2. Step 2: Convert to fraction form
    54,231.80/81,382.26 = 23,067/x
  3. Step 3: Cross multiply
    54,231.80x = 81,382.26 × 23,067
  4. Step 4: Simplify right side
    54,231.80x = 1,877,244,591.42
  5. Step 5: Solve for x
    x = 1,877,244,591.42/54,231.80
  6. Step 6: Final answer
    x = 34,615.20

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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.