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Finding the Fourth Proportional to 49,196.52, 67,891.26 and 27,975.90

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Solution

The fourth proportional to 49,196.52, 67,891.26 and 27,975.90 is: 38,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,196.52 : 67,891.26 = 27,975.90 : x
  2. Step 2: Convert to fraction form
    49,196.52/67,891.26 = 27,975.90/x
  3. Step 3: Cross multiply
    49,196.52x = 67,891.26 × 27,975.90
  4. Step 4: Simplify right side
    49,196.52x = 1,899,319,100.63
  5. Step 5: Solve for x
    x = 1,899,319,100.63/49,196.52
  6. Step 6: Final answer
    x = 38,606.78

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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.