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Finding the Fourth Proportional to 83,231.96, 124,822.02 and 27,815

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Solution

The fourth proportional to 83,231.96, 124,822.02 and 27,815 is: 41,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.96 : 124,822.02 = 27,815 : x
  2. Step 2: Convert to fraction form
    83,231.96/124,822.02 = 27,815/x
  3. Step 3: Cross multiply
    83,231.96x = 124,822.02 × 27,815
  4. Step 4: Simplify right side
    83,231.96x = 3,471,924,486.30
  5. Step 5: Solve for x
    x = 3,471,924,486.30/83,231.96
  6. Step 6: Final answer
    x = 41,713.84

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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.