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Finding the Fourth Proportional to 49,092.81, 67,745.67 and 27,869.29

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Solution

The fourth proportional to 49,092.81, 67,745.67 and 27,869.29 is: 38,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,092.81 : 67,745.67 = 27,869.29 : x
  2. Step 2: Convert to fraction form
    49,092.81/67,745.67 = 27,869.29/x
  3. Step 3: Cross multiply
    49,092.81x = 67,745.67 × 27,869.29
  4. Step 4: Simplify right side
    49,092.81x = 1,888,023,584.13
  5. Step 5: Solve for x
    x = 1,888,023,584.13/49,092.81
  6. Step 6: Final answer
    x = 38,458.25

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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.