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Finding the Fourth Proportional to 50,092, 75,163.92 and 25,468

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Solution

The fourth proportional to 50,092, 75,163.92 and 25,468 is: 38,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,092 : 75,163.92 = 25,468 : x
  2. Step 2: Convert to fraction form
    50,092/75,163.92 = 25,468/x
  3. Step 3: Cross multiply
    50,092x = 75,163.92 × 25,468
  4. Step 4: Simplify right side
    50,092x = 1,914,274,714.56
  5. Step 5: Solve for x
    x = 1,914,274,714.56/50,092
  6. Step 6: Final answer
    x = 38,215.18

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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.