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Finding the Fourth Proportional to 65,294.25, 98,032.17 and 33,727.64

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Solution

The fourth proportional to 65,294.25, 98,032.17 and 33,727.64 is: 50,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,294.25 : 98,032.17 = 33,727.64 : x
  2. Step 2: Convert to fraction form
    65,294.25/98,032.17 = 33,727.64/x
  3. Step 3: Cross multiply
    65,294.25x = 98,032.17 × 33,727.64
  4. Step 4: Simplify right side
    65,294.25x = 3,306,393,738.18
  5. Step 5: Solve for x
    x = 3,306,393,738.18/65,294.25
  6. Step 6: Final answer
    x = 50,638.36

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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.