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Finding the Fourth Proportional to 41,408.73, 57,149.19 and 23,509.53

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Solution

The fourth proportional to 41,408.73, 57,149.19 and 23,509.53 is: 32,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408.73 : 57,149.19 = 23,509.53 : x
  2. Step 2: Convert to fraction form
    41,408.73/57,149.19 = 23,509.53/x
  3. Step 3: Cross multiply
    41,408.73x = 57,149.19 × 23,509.53
  4. Step 4: Simplify right side
    41,408.73x = 1,343,550,596.78
  5. Step 5: Solve for x
    x = 1,343,550,596.78/41,408.73
  6. Step 6: Final answer
    x = 32,446.07

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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.