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Finding the Fourth Proportional to 50,093, 75,165.42 and 25,469

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Solution

The fourth proportional to 50,093, 75,165.42 and 25,469 is: 38,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,093 : 75,165.42 = 25,469 : x
  2. Step 2: Convert to fraction form
    50,093/75,165.42 = 25,469/x
  3. Step 3: Cross multiply
    50,093x = 75,165.42 × 25,469
  4. Step 4: Simplify right side
    50,093x = 1,914,388,081.98
  5. Step 5: Solve for x
    x = 1,914,388,081.98/50,093
  6. Step 6: Final answer
    x = 38,216.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.