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Finding the Fourth Proportional to 65,306.70, 97,996.96 and 27,863.24

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Solution

The fourth proportional to 65,306.70, 97,996.96 and 27,863.24 is: 41,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.70 : 97,996.96 = 27,863.24 : x
  2. Step 2: Convert to fraction form
    65,306.70/97,996.96 = 27,863.24/x
  3. Step 3: Cross multiply
    65,306.70x = 97,996.96 × 27,863.24
  4. Step 4: Simplify right side
    65,306.70x = 2,730,512,815.75
  5. Step 5: Solve for x
    x = 2,730,512,815.75/65,306.70
  6. Step 6: Final answer
    x = 41,810.61

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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.