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Finding the Fourth Proportional to 65,099.80, 97,663.90 and 27,691.80

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Solution

The fourth proportional to 65,099.80, 97,663.90 and 27,691.80 is: 41,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,099.80 : 97,663.90 = 27,691.80 : x
  2. Step 2: Convert to fraction form
    65,099.80/97,663.90 = 27,691.80/x
  3. Step 3: Cross multiply
    65,099.80x = 97,663.90 × 27,691.80
  4. Step 4: Simplify right side
    65,099.80x = 2,704,489,186.02
  5. Step 5: Solve for x
    x = 2,704,489,186.02/65,099.80
  6. Step 6: Final answer
    x = 41,543.74

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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.