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Finding the Fourth Proportional to 49,092.10, 67,747.16 and 27,871.37

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Solution

The fourth proportional to 49,092.10, 67,747.16 and 27,871.37 is: 38,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,092.10 : 67,747.16 = 27,871.37 : x
  2. Step 2: Convert to fraction form
    49,092.10/67,747.16 = 27,871.37/x
  3. Step 3: Cross multiply
    49,092.10x = 67,747.16 × 27,871.37
  4. Step 4: Simplify right side
    49,092.10x = 1,888,206,162.81
  5. Step 5: Solve for x
    x = 1,888,206,162.81/49,092.10
  6. Step 6: Final answer
    x = 38,462.53

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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.