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Finding the Fourth Proportional to 54,747.66, 82,121.49 and 13,194.66

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Solution

The fourth proportional to 54,747.66, 82,121.49 and 13,194.66 is: 19,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,747.66 : 82,121.49 = 13,194.66 : x
  2. Step 2: Convert to fraction form
    54,747.66/82,121.49 = 13,194.66/x
  3. Step 3: Cross multiply
    54,747.66x = 82,121.49 × 13,194.66
  4. Step 4: Simplify right side
    54,747.66x = 1,083,565,139.24
  5. Step 5: Solve for x
    x = 1,083,565,139.24/54,747.66
  6. Step 6: Final answer
    x = 19,791.99

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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.