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Finding the Fourth Proportional to 41,812.88, 57,701.97 and 22,950

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Solution

The fourth proportional to 41,812.88, 57,701.97 and 22,950 is: 31,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,812.88 : 57,701.97 = 22,950 : x
  2. Step 2: Convert to fraction form
    41,812.88/57,701.97 = 22,950/x
  3. Step 3: Cross multiply
    41,812.88x = 57,701.97 × 22,950
  4. Step 4: Simplify right side
    41,812.88x = 1,324,260,211.50
  5. Step 5: Solve for x
    x = 1,324,260,211.50/41,812.88
  6. Step 6: Final answer
    x = 31,671.11

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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.