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Finding the Fourth Proportional to 33,596.38, 50,400 and 11,407.42

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Solution

The fourth proportional to 33,596.38, 50,400 and 11,407.42 is: 17,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,596.38 : 50,400 = 11,407.42 : x
  2. Step 2: Convert to fraction form
    33,596.38/50,400 = 11,407.42/x
  3. Step 3: Cross multiply
    33,596.38x = 50,400 × 11,407.42
  4. Step 4: Simplify right side
    33,596.38x = 574,933,968
  5. Step 5: Solve for x
    x = 574,933,968/33,596.38
  6. Step 6: Final answer
    x = 17,112.97

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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.