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Finding the Fourth Proportional to 73,115.74, 109,675.23 and 20,524.06

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Solution

The fourth proportional to 73,115.74, 109,675.23 and 20,524.06 is: 30,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,115.74 : 109,675.23 = 20,524.06 : x
  2. Step 2: Convert to fraction form
    73,115.74/109,675.23 = 20,524.06/x
  3. Step 3: Cross multiply
    73,115.74x = 109,675.23 × 20,524.06
  4. Step 4: Simplify right side
    73,115.74x = 2,250,981,001.03
  5. Step 5: Solve for x
    x = 2,250,981,001.03/73,115.74
  6. Step 6: Final answer
    x = 30,786.54

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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.