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Finding the Fourth Proportional to 41,986.06, 57,942.16 and 22,866.57

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Solution

The fourth proportional to 41,986.06, 57,942.16 and 22,866.57 is: 31,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,986.06 : 57,942.16 = 22,866.57 : x
  2. Step 2: Convert to fraction form
    41,986.06/57,942.16 = 22,866.57/x
  3. Step 3: Cross multiply
    41,986.06x = 57,942.16 × 22,866.57
  4. Step 4: Simplify right side
    41,986.06x = 1,324,938,400.42
  5. Step 5: Solve for x
    x = 1,324,938,400.42/41,986.06
  6. Step 6: Final answer
    x = 31,556.63

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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.