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Finding the Fourth Proportional to 49,100, 67,758.08 and 26,744

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Solution

The fourth proportional to 49,100, 67,758.08 and 26,744 is: 36,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,100 : 67,758.08 = 26,744 : x
  2. Step 2: Convert to fraction form
    49,100/67,758.08 = 26,744/x
  3. Step 3: Cross multiply
    49,100x = 67,758.08 × 26,744
  4. Step 4: Simplify right side
    49,100x = 1,812,122,091.52
  5. Step 5: Solve for x
    x = 1,812,122,091.52/49,100
  6. Step 6: Final answer
    x = 36,906.76

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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.