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Finding the Fourth Proportional to 65,388.24, 98,121.24 and 27,959.76

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Solution

The fourth proportional to 65,388.24, 98,121.24 and 27,959.76 is: 41,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,388.24 : 98,121.24 = 27,959.76 : x
  2. Step 2: Convert to fraction form
    65,388.24/98,121.24 = 27,959.76/x
  3. Step 3: Cross multiply
    65,388.24x = 98,121.24 × 27,959.76
  4. Step 4: Simplify right side
    65,388.24x = 2,743,446,321.30
  5. Step 5: Solve for x
    x = 2,743,446,321.30/65,388.24
  6. Step 6: Final answer
    x = 41,956.26

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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.