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Finding the Fourth Proportional to 65,489.50, 98,234.25 and 23,936.50

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Solution

The fourth proportional to 65,489.50, 98,234.25 and 23,936.50 is: 35,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,489.50 : 98,234.25 = 23,936.50 : x
  2. Step 2: Convert to fraction form
    65,489.50/98,234.25 = 23,936.50/x
  3. Step 3: Cross multiply
    65,489.50x = 98,234.25 × 23,936.50
  4. Step 4: Simplify right side
    65,489.50x = 2,351,384,125.13
  5. Step 5: Solve for x
    x = 2,351,384,125.13/65,489.50
  6. Step 6: Final answer
    x = 35,904.75

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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.