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Finding the Fourth Proportional to 41,381.38, 57,107.60 and 23,477.14

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Solution

The fourth proportional to 41,381.38, 57,107.60 and 23,477.14 is: 32,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,381.38 : 57,107.60 = 23,477.14 : x
  2. Step 2: Convert to fraction form
    41,381.38/57,107.60 = 23,477.14/x
  3. Step 3: Cross multiply
    41,381.38x = 57,107.60 × 23,477.14
  4. Step 4: Simplify right side
    41,381.38x = 1,340,723,120.26
  5. Step 5: Solve for x
    x = 1,340,723,120.26/41,381.38
  6. Step 6: Final answer
    x = 32,399.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.