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Finding the Fourth Proportional to 83,726.56, 125,542.50 and 27,551.49

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Solution

The fourth proportional to 83,726.56, 125,542.50 and 27,551.49 is: 41,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,726.56 : 125,542.50 = 27,551.49 : x
  2. Step 2: Convert to fraction form
    83,726.56/125,542.50 = 27,551.49/x
  3. Step 3: Cross multiply
    83,726.56x = 125,542.50 × 27,551.49
  4. Step 4: Simplify right side
    83,726.56x = 3,458,882,933.33
  5. Step 5: Solve for x
    x = 3,458,882,933.33/83,726.56
  6. Step 6: Final answer
    x = 41,311.66

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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.