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Finding the Fourth Proportional to 49,192.32, 67,876.92 and 27,679.08

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Solution

The fourth proportional to 49,192.32, 67,876.92 and 27,679.08 is: 38,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,192.32 : 67,876.92 = 27,679.08 : x
  2. Step 2: Convert to fraction form
    49,192.32/67,876.92 = 27,679.08/x
  3. Step 3: Cross multiply
    49,192.32x = 67,876.92 × 27,679.08
  4. Step 4: Simplify right side
    49,192.32x = 1,878,770,698.83
  5. Step 5: Solve for x
    x = 1,878,770,698.83/49,192.32
  6. Step 6: Final answer
    x = 38,192.36

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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.