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Finding the Fourth Proportional to 33,514.37, 50,195.03 and 15,996.50

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Solution

The fourth proportional to 33,514.37, 50,195.03 and 15,996.50 is: 23,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,514.37 : 50,195.03 = 15,996.50 : x
  2. Step 2: Convert to fraction form
    33,514.37/50,195.03 = 15,996.50/x
  3. Step 3: Cross multiply
    33,514.37x = 50,195.03 × 15,996.50
  4. Step 4: Simplify right side
    33,514.37x = 802,944,466.44
  5. Step 5: Solve for x
    x = 802,944,466.44/33,514.37
  6. Step 6: Final answer
    x = 23,958.22

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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.