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Finding the Fourth Proportional to 54,732.27, 82,086.66 and 17,295.24

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Solution

The fourth proportional to 54,732.27, 82,086.66 and 17,295.24 is: 25,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,732.27 : 82,086.66 = 17,295.24 : x
  2. Step 2: Convert to fraction form
    54,732.27/82,086.66 = 17,295.24/x
  3. Step 3: Cross multiply
    54,732.27x = 82,086.66 × 17,295.24
  4. Step 4: Simplify right side
    54,732.27x = 1,419,708,485.50
  5. Step 5: Solve for x
    x = 1,419,708,485.50/54,732.27
  6. Step 6: Final answer
    x = 25,939.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.