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Finding the Fourth Proportional to 41,382.50, 57,107.86 and 22,519.76

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Solution

The fourth proportional to 41,382.50, 57,107.86 and 22,519.76 is: 31,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,382.50 : 57,107.86 = 22,519.76 : x
  2. Step 2: Convert to fraction form
    41,382.50/57,107.86 = 22,519.76/x
  3. Step 3: Cross multiply
    41,382.50x = 57,107.86 × 22,519.76
  4. Step 4: Simplify right side
    41,382.50x = 1,286,055,301.31
  5. Step 5: Solve for x
    x = 1,286,055,301.31/41,382.50
  6. Step 6: Final answer
    x = 31,077.27

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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.