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Finding the Fourth Proportional to 65,874.88, 98,751.76 and 23,744.65

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Solution

The fourth proportional to 65,874.88, 98,751.76 and 23,744.65 is: 35,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,874.88 : 98,751.76 = 23,744.65 : x
  2. Step 2: Convert to fraction form
    65,874.88/98,751.76 = 23,744.65/x
  3. Step 3: Cross multiply
    65,874.88x = 98,751.76 × 23,744.65
  4. Step 4: Simplify right side
    65,874.88x = 2,344,825,978.08
  5. Step 5: Solve for x
    x = 2,344,825,978.08/65,874.88
  6. Step 6: Final answer
    x = 35,595.15

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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.