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Finding the Fourth Proportional to 50,167, 69,241.26 and 30,028.38

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Solution

The fourth proportional to 50,167, 69,241.26 and 30,028.38 is: 41,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,167 : 69,241.26 = 30,028.38 : x
  2. Step 2: Convert to fraction form
    50,167/69,241.26 = 30,028.38/x
  3. Step 3: Cross multiply
    50,167x = 69,241.26 × 30,028.38
  4. Step 4: Simplify right side
    50,167x = 2,079,202,866.96
  5. Step 5: Solve for x
    x = 2,079,202,866.96/50,167
  6. Step 6: Final answer
    x = 41,445.63

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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.