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Finding the Fourth Proportional to 54,879.38, 82,310.49 and 17,434.53

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Solution

The fourth proportional to 54,879.38, 82,310.49 and 17,434.53 is: 26,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,879.38 : 82,310.49 = 17,434.53 : x
  2. Step 2: Convert to fraction form
    54,879.38/82,310.49 = 17,434.53/x
  3. Step 3: Cross multiply
    54,879.38x = 82,310.49 × 17,434.53
  4. Step 4: Simplify right side
    54,879.38x = 1,435,044,707.22
  5. Step 5: Solve for x
    x = 1,435,044,707.22/54,879.38
  6. Step 6: Final answer
    x = 26,149.07

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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.