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Finding the Fourth Proportional to 83,950.49, 125,895.49 and 27,780.23

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Solution

The fourth proportional to 83,950.49, 125,895.49 and 27,780.23 is: 41,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,950.49 : 125,895.49 = 27,780.23 : x
  2. Step 2: Convert to fraction form
    83,950.49/125,895.49 = 27,780.23/x
  3. Step 3: Cross multiply
    83,950.49x = 125,895.49 × 27,780.23
  4. Step 4: Simplify right side
    83,950.49x = 3,497,405,353.42
  5. Step 5: Solve for x
    x = 3,497,405,353.42/83,950.49
  6. Step 6: Final answer
    x = 41,660.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.