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Finding the Fourth Proportional to 50,091, 75,162.42 and 25,467

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Solution

The fourth proportional to 50,091, 75,162.42 and 25,467 is: 38,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,091 : 75,162.42 = 25,467 : x
  2. Step 2: Convert to fraction form
    50,091/75,162.42 = 25,467/x
  3. Step 3: Cross multiply
    50,091x = 75,162.42 × 25,467
  4. Step 4: Simplify right side
    50,091x = 1,914,161,350.14
  5. Step 5: Solve for x
    x = 1,914,161,350.14/50,091
  6. Step 6: Final answer
    x = 38,213.68

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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.