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Finding the Fourth Proportional to 49,198.88, 67,894.80 and 27,976.88

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Solution

The fourth proportional to 49,198.88, 67,894.80 and 27,976.88 is: 38,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,198.88 : 67,894.80 = 27,976.88 : x
  2. Step 2: Convert to fraction form
    49,198.88/67,894.80 = 27,976.88/x
  3. Step 3: Cross multiply
    49,198.88x = 67,894.80 × 27,976.88
  4. Step 4: Simplify right side
    49,198.88x = 1,899,484,672.22
  5. Step 5: Solve for x
    x = 1,899,484,672.22/49,198.88
  6. Step 6: Final answer
    x = 38,608.29

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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.