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Finding the Fourth Proportional to 27,763.92, 41,546.97 and 20,349.99

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Solution

The fourth proportional to 27,763.92, 41,546.97 and 20,349.99 is: 30,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,763.92 : 41,546.97 = 20,349.99 : x
  2. Step 2: Convert to fraction form
    27,763.92/41,546.97 = 20,349.99/x
  3. Step 3: Cross multiply
    27,763.92x = 41,546.97 × 20,349.99
  4. Step 4: Simplify right side
    27,763.92x = 845,480,424.03
  5. Step 5: Solve for x
    x = 845,480,424.03/27,763.92
  6. Step 6: Final answer
    x = 30,452.49

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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.