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Finding the Fourth Proportional to 27,976, 41,956.32 and 10,452.80

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Solution

The fourth proportional to 27,976, 41,956.32 and 10,452.80 is: 15,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976 : 41,956.32 = 10,452.80 : x
  2. Step 2: Convert to fraction form
    27,976/41,956.32 = 10,452.80/x
  3. Step 3: Cross multiply
    27,976x = 41,956.32 × 10,452.80
  4. Step 4: Simplify right side
    27,976x = 438,561,021.70
  5. Step 5: Solve for x
    x = 438,561,021.70/27,976
  6. Step 6: Final answer
    x = 15,676.33

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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.