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Finding the Fourth Proportional to 41,402.85, 57,143.39 and 24,406.09

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Solution

The fourth proportional to 41,402.85, 57,143.39 and 24,406.09 is: 33,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,402.85 : 57,143.39 = 24,406.09 : x
  2. Step 2: Convert to fraction form
    41,402.85/57,143.39 = 24,406.09/x
  3. Step 3: Cross multiply
    41,402.85x = 57,143.39 × 24,406.09
  4. Step 4: Simplify right side
    41,402.85x = 1,394,646,719.25
  5. Step 5: Solve for x
    x = 1,394,646,719.25/41,402.85
  6. Step 6: Final answer
    x = 33,684.80

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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.