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Finding the Fourth Proportional to 49,076.52, 67,727.46 and 27,856.68

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Solution

The fourth proportional to 49,076.52, 67,727.46 and 27,856.68 is: 38,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,076.52 : 67,727.46 = 27,856.68 : x
  2. Step 2: Convert to fraction form
    49,076.52/67,727.46 = 27,856.68/x
  3. Step 3: Cross multiply
    49,076.52x = 67,727.46 × 27,856.68
  4. Step 4: Simplify right side
    49,076.52x = 1,886,662,180.43
  5. Step 5: Solve for x
    x = 1,886,662,180.43/49,076.52
  6. Step 6: Final answer
    x = 38,443.28

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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.