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Finding the Fourth Proportional to 41,402, 57,149.16 and 24,634.64

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Solution

The fourth proportional to 41,402, 57,149.16 and 24,634.64 is: 34,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,402 : 57,149.16 = 24,634.64 : x
  2. Step 2: Convert to fraction form
    41,402/57,149.16 = 24,634.64/x
  3. Step 3: Cross multiply
    41,402x = 57,149.16 × 24,634.64
  4. Step 4: Simplify right side
    41,402x = 1,407,848,982.90
  5. Step 5: Solve for x
    x = 1,407,848,982.90/41,402
  6. Step 6: Final answer
    x = 34,004.37

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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.