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Finding the Fourth Proportional to 83,233.44, 124,867.44 and 27,828

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Solution

The fourth proportional to 83,233.44, 124,867.44 and 27,828 is: 41,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,233.44 : 124,867.44 = 27,828 : x
  2. Step 2: Convert to fraction form
    83,233.44/124,867.44 = 27,828/x
  3. Step 3: Cross multiply
    83,233.44x = 124,867.44 × 27,828
  4. Step 4: Simplify right side
    83,233.44x = 3,474,811,120.32
  5. Step 5: Solve for x
    x = 3,474,811,120.32/83,233.44
  6. Step 6: Final answer
    x = 41,747.78

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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.