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Finding the Fourth Proportional to 49,208.82, 67,906.95 and 27,986.73

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Solution

The fourth proportional to 49,208.82, 67,906.95 and 27,986.73 is: 38,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,208.82 : 67,906.95 = 27,986.73 : x
  2. Step 2: Convert to fraction form
    49,208.82/67,906.95 = 27,986.73/x
  3. Step 3: Cross multiply
    49,208.82x = 67,906.95 × 27,986.73
  4. Step 4: Simplify right side
    49,208.82x = 1,900,493,474.77
  5. Step 5: Solve for x
    x = 1,900,493,474.77/49,208.82
  6. Step 6: Final answer
    x = 38,620.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.