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Finding the Fourth Proportional to 65,243.67, 97,716.96 and 38,893.97

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Solution

The fourth proportional to 65,243.67, 97,716.96 and 38,893.97 is: 58,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,243.67 : 97,716.96 = 38,893.97 : x
  2. Step 2: Convert to fraction form
    65,243.67/97,716.96 = 38,893.97/x
  3. Step 3: Cross multiply
    65,243.67x = 97,716.96 × 38,893.97
  4. Step 4: Simplify right side
    65,243.67x = 3,800,600,022.15
  5. Step 5: Solve for x
    x = 3,800,600,022.15/65,243.67
  6. Step 6: Final answer
    x = 58,252.39

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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.