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Finding the Fourth Proportional to 49,092.72, 67,740.57 and 27,578.34

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Solution

The fourth proportional to 49,092.72, 67,740.57 and 27,578.34 is: 38,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,092.72 : 67,740.57 = 27,578.34 : x
  2. Step 2: Convert to fraction form
    49,092.72/67,740.57 = 27,578.34/x
  3. Step 3: Cross multiply
    49,092.72x = 67,740.57 × 27,578.34
  4. Step 4: Simplify right side
    49,092.72x = 1,868,172,471.25
  5. Step 5: Solve for x
    x = 1,868,172,471.25/49,092.72
  6. Step 6: Final answer
    x = 38,053.96

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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.