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Finding the Fourth Proportional to 65,489.28, 98,238.24 and 23,965.44

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Solution

The fourth proportional to 65,489.28, 98,238.24 and 23,965.44 is: 35,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,489.28 : 98,238.24 = 23,965.44 : x
  2. Step 2: Convert to fraction form
    65,489.28/98,238.24 = 23,965.44/x
  3. Step 3: Cross multiply
    65,489.28x = 98,238.24 × 23,965.44
  4. Step 4: Simplify right side
    65,489.28x = 2,354,322,646.43
  5. Step 5: Solve for x
    x = 2,354,322,646.43/65,489.28
  6. Step 6: Final answer
    x = 35,949.74

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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.