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Finding the Fourth Proportional to 27,469.60, 41,204.40 and 7,747.90

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Solution

The fourth proportional to 27,469.60, 41,204.40 and 7,747.90 is: 11,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.60 : 41,204.40 = 7,747.90 : x
  2. Step 2: Convert to fraction form
    27,469.60/41,204.40 = 7,747.90/x
  3. Step 3: Cross multiply
    27,469.60x = 41,204.40 × 7,747.90
  4. Step 4: Simplify right side
    27,469.60x = 319,247,570.76
  5. Step 5: Solve for x
    x = 319,247,570.76/27,469.60
  6. Step 6: Final answer
    x = 11,621.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.