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Finding the Fourth Proportional to 100,711.92, 151,067.93 and 25,832.07

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Solution

The fourth proportional to 100,711.92, 151,067.93 and 25,832.07 is: 38,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,711.92 : 151,067.93 = 25,832.07 : x
  2. Step 2: Convert to fraction form
    100,711.92/151,067.93 = 25,832.07/x
  3. Step 3: Cross multiply
    100,711.92x = 151,067.93 × 25,832.07
  4. Step 4: Simplify right side
    100,711.92x = 3,902,397,213.35
  5. Step 5: Solve for x
    x = 3,902,397,213.35/100,711.92
  6. Step 6: Final answer
    x = 38,748.12

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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.