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Finding the Fourth Proportional to 65,883.17, 98,843.09 and 21,512.59

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Solution

The fourth proportional to 65,883.17, 98,843.09 and 21,512.59 is: 32,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,883.17 : 98,843.09 = 21,512.59 : x
  2. Step 2: Convert to fraction form
    65,883.17/98,843.09 = 21,512.59/x
  3. Step 3: Cross multiply
    65,883.17x = 98,843.09 × 21,512.59
  4. Step 4: Simplify right side
    65,883.17x = 2,126,370,514.83
  5. Step 5: Solve for x
    x = 2,126,370,514.83/65,883.17
  6. Step 6: Final answer
    x = 32,274.87

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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.