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Finding the Fourth Proportional to 65,922.74, 98,920.11 and 27,966.15

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Solution

The fourth proportional to 65,922.74, 98,920.11 and 27,966.15 is: 41,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,922.74 : 98,920.11 = 27,966.15 : x
  2. Step 2: Convert to fraction form
    65,922.74/98,920.11 = 27,966.15/x
  3. Step 3: Cross multiply
    65,922.74x = 98,920.11 × 27,966.15
  4. Step 4: Simplify right side
    65,922.74x = 2,766,414,634.28
  5. Step 5: Solve for x
    x = 2,766,414,634.28/65,922.74
  6. Step 6: Final answer
    x = 41,964.50

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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.