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Finding the Fourth Proportional to 65,233.50, 97,847.16 and 23,112.90

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Solution

The fourth proportional to 65,233.50, 97,847.16 and 23,112.90 is: 34,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.50 : 97,847.16 = 23,112.90 : x
  2. Step 2: Convert to fraction form
    65,233.50/97,847.16 = 23,112.90/x
  3. Step 3: Cross multiply
    65,233.50x = 97,847.16 × 23,112.90
  4. Step 4: Simplify right side
    65,233.50x = 2,261,531,624.36
  5. Step 5: Solve for x
    x = 2,261,531,624.36/65,233.50
  6. Step 6: Final answer
    x = 34,668.26

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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.