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Finding the Fourth Proportional to 65,797.58, 98,733.99 and 27,843.86

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Solution

The fourth proportional to 65,797.58, 98,733.99 and 27,843.86 is: 41,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,797.58 : 98,733.99 = 27,843.86 : x
  2. Step 2: Convert to fraction form
    65,797.58/98,733.99 = 27,843.86/x
  3. Step 3: Cross multiply
    65,797.58x = 98,733.99 × 27,843.86
  4. Step 4: Simplify right side
    65,797.58x = 2,749,135,394.80
  5. Step 5: Solve for x
    x = 2,749,135,394.80/65,797.58
  6. Step 6: Final answer
    x = 41,781.71

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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.