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Finding the Fourth Proportional to 65,400.75, 98,115.75 and 23,847.75

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Solution

The fourth proportional to 65,400.75, 98,115.75 and 23,847.75 is: 35,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,400.75 : 98,115.75 = 23,847.75 : x
  2. Step 2: Convert to fraction form
    65,400.75/98,115.75 = 23,847.75/x
  3. Step 3: Cross multiply
    65,400.75x = 98,115.75 × 23,847.75
  4. Step 4: Simplify right side
    65,400.75x = 2,339,839,877.06
  5. Step 5: Solve for x
    x = 2,339,839,877.06/65,400.75
  6. Step 6: Final answer
    x = 35,776.96

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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.