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Finding the Fourth Proportional to 65,102.67, 89,851.26 and 41,231.57

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Solution

The fourth proportional to 65,102.67, 89,851.26 and 41,231.57 is: 56,905.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.67 : 89,851.26 = 41,231.57 : x
  2. Step 2: Convert to fraction form
    65,102.67/89,851.26 = 41,231.57/x
  3. Step 3: Cross multiply
    65,102.67x = 89,851.26 × 41,231.57
  4. Step 4: Simplify right side
    65,102.67x = 3,704,708,067.02
  5. Step 5: Solve for x
    x = 3,704,708,067.02/65,102.67
  6. Step 6: Final answer
    x = 56,905.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.