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Finding the Fourth Proportional to 49,171.38, 67,856.50 and 26,815.38

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Solution

The fourth proportional to 49,171.38, 67,856.50 and 26,815.38 is: 37,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,171.38 : 67,856.50 = 26,815.38 : x
  2. Step 2: Convert to fraction form
    49,171.38/67,856.50 = 26,815.38/x
  3. Step 3: Cross multiply
    49,171.38x = 67,856.50 × 26,815.38
  4. Step 4: Simplify right side
    49,171.38x = 1,819,597,832.97
  5. Step 5: Solve for x
    x = 1,819,597,832.97/49,171.38
  6. Step 6: Final answer
    x = 37,005.22

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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.