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Finding the Fourth Proportional to 54,839.59, 82,262.31 and 17,402.59

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Solution

The fourth proportional to 54,839.59, 82,262.31 and 17,402.59 is: 26,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,839.59 : 82,262.31 = 17,402.59 : x
  2. Step 2: Convert to fraction form
    54,839.59/82,262.31 = 17,402.59/x
  3. Step 3: Cross multiply
    54,839.59x = 82,262.31 × 17,402.59
  4. Step 4: Simplify right side
    54,839.59x = 1,431,577,253.38
  5. Step 5: Solve for x
    x = 1,431,577,253.38/54,839.59
  6. Step 6: Final answer
    x = 26,104.81

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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.