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Finding the Fourth Proportional to 65,965.84, 98,959.26 and 23,841.65

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Solution

The fourth proportional to 65,965.84, 98,959.26 and 23,841.65 is: 35,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,965.84 : 98,959.26 = 23,841.65 : x
  2. Step 2: Convert to fraction form
    65,965.84/98,959.26 = 23,841.65/x
  3. Step 3: Cross multiply
    65,965.84x = 98,959.26 × 23,841.65
  4. Step 4: Simplify right side
    65,965.84x = 2,359,352,377.98
  5. Step 5: Solve for x
    x = 2,359,352,377.98/65,965.84
  6. Step 6: Final answer
    x = 35,766.28

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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.