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Finding the Fourth Proportional to 83,211.88, 124,817.82 and 27,807.88

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Solution

The fourth proportional to 83,211.88, 124,817.82 and 27,807.88 is: 41,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,211.88 : 124,817.82 = 27,807.88 : x
  2. Step 2: Convert to fraction form
    83,211.88/124,817.82 = 27,807.88/x
  3. Step 3: Cross multiply
    83,211.88x = 124,817.82 × 27,807.88
  4. Step 4: Simplify right side
    83,211.88x = 3,470,918,197.29
  5. Step 5: Solve for x
    x = 3,470,918,197.29/83,211.88
  6. Step 6: Final answer
    x = 41,711.81

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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.