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Finding the Fourth Proportional to 41,462.39, 57,218.11 and 23,557.42

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Solution

The fourth proportional to 41,462.39, 57,218.11 and 23,557.42 is: 32,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,462.39 : 57,218.11 = 23,557.42 : x
  2. Step 2: Convert to fraction form
    41,462.39/57,218.11 = 23,557.42/x
  3. Step 3: Cross multiply
    41,462.39x = 57,218.11 × 23,557.42
  4. Step 4: Simplify right side
    41,462.39x = 1,347,910,805.91
  5. Step 5: Solve for x
    x = 1,347,910,805.91/41,462.39
  6. Step 6: Final answer
    x = 32,509.24

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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.