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Finding the Fourth Proportional to 49,076.91, 67,729.64 and 27,857.54

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Solution

The fourth proportional to 49,076.91, 67,729.64 and 27,857.54 is: 38,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,076.91 : 67,729.64 = 27,857.54 : x
  2. Step 2: Convert to fraction form
    49,076.91/67,729.64 = 27,857.54/x
  3. Step 3: Cross multiply
    49,076.91x = 67,729.64 × 27,857.54
  4. Step 4: Simplify right side
    49,076.91x = 1,886,781,185.52
  5. Step 5: Solve for x
    x = 1,886,781,185.52/49,076.91
  6. Step 6: Final answer
    x = 38,445.39

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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.