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Finding the Fourth Proportional to 65,861.31, 98,796.24 and 23,161.50

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Solution

The fourth proportional to 65,861.31, 98,796.24 and 23,161.50 is: 34,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,861.31 : 98,796.24 = 23,161.50 : x
  2. Step 2: Convert to fraction form
    65,861.31/98,796.24 = 23,161.50/x
  3. Step 3: Cross multiply
    65,861.31x = 98,796.24 × 23,161.50
  4. Step 4: Simplify right side
    65,861.31x = 2,288,269,112.76
  5. Step 5: Solve for x
    x = 2,288,269,112.76/65,861.31
  6. Step 6: Final answer
    x = 34,743.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.