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Finding the Fourth Proportional to 27,469.72, 41,202.66 and 7,747.48

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Solution

The fourth proportional to 27,469.72, 41,202.66 and 7,747.48 is: 11,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.72 : 41,202.66 = 7,747.48 : x
  2. Step 2: Convert to fraction form
    27,469.72/41,202.66 = 7,747.48/x
  3. Step 3: Cross multiply
    27,469.72x = 41,202.66 × 7,747.48
  4. Step 4: Simplify right side
    27,469.72x = 319,216,784.30
  5. Step 5: Solve for x
    x = 319,216,784.30/27,469.72
  6. Step 6: Final answer
    x = 11,620.68

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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.