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Finding the Fourth Proportional to 49,198.32, 67,897.44 and 27,976.32

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Solution

The fourth proportional to 49,198.32, 67,897.44 and 27,976.32 is: 38,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,198.32 : 67,897.44 = 27,976.32 : x
  2. Step 2: Convert to fraction form
    49,198.32/67,897.44 = 27,976.32/x
  3. Step 3: Cross multiply
    49,198.32x = 67,897.44 × 27,976.32
  4. Step 4: Simplify right side
    49,198.32x = 1,899,520,508.62
  5. Step 5: Solve for x
    x = 1,899,520,508.62/49,198.32
  6. Step 6: Final answer
    x = 38,609.46

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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.