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Finding the Fourth Proportional to 49,211.50, 67,915.52 and 27,997.60

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Solution

The fourth proportional to 49,211.50, 67,915.52 and 27,997.60 is: 38,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,211.50 : 67,915.52 = 27,997.60 : x
  2. Step 2: Convert to fraction form
    49,211.50/67,915.52 = 27,997.60/x
  3. Step 3: Cross multiply
    49,211.50x = 67,915.52 × 27,997.60
  4. Step 4: Simplify right side
    49,211.50x = 1,901,471,562.75
  5. Step 5: Solve for x
    x = 1,901,471,562.75/49,211.50
  6. Step 6: Final answer
    x = 38,638.76

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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.