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Finding the Fourth Proportional to 41,604.60, 57,414 and 22,741.68

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Solution

The fourth proportional to 41,604.60, 57,414 and 22,741.68 is: 31,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,604.60 : 57,414 = 22,741.68 : x
  2. Step 2: Convert to fraction form
    41,604.60/57,414 = 22,741.68/x
  3. Step 3: Cross multiply
    41,604.60x = 57,414 × 22,741.68
  4. Step 4: Simplify right side
    41,604.60x = 1,305,690,815.52
  5. Step 5: Solve for x
    x = 1,305,690,815.52/41,604.60
  6. Step 6: Final answer
    x = 31,383.33

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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.