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Finding the Fourth Proportional to 73,013.82, 100,799.19 and 47,542.38

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Solution

The fourth proportional to 73,013.82, 100,799.19 and 47,542.38 is: 65,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,013.82 : 100,799.19 = 47,542.38 : x
  2. Step 2: Convert to fraction form
    73,013.82/100,799.19 = 47,542.38/x
  3. Step 3: Cross multiply
    73,013.82x = 100,799.19 × 47,542.38
  4. Step 4: Simplify right side
    73,013.82x = 4,792,233,394.67
  5. Step 5: Solve for x
    x = 4,792,233,394.67/73,013.82
  6. Step 6: Final answer
    x = 65,634.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.