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Finding the Fourth Proportional to 33,649.61, 50,418.61 and 20,462.09

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Solution

The fourth proportional to 33,649.61, 50,418.61 and 20,462.09 is: 30,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649.61 : 50,418.61 = 20,462.09 : x
  2. Step 2: Convert to fraction form
    33,649.61/50,418.61 = 20,462.09/x
  3. Step 3: Cross multiply
    33,649.61x = 50,418.61 × 20,462.09
  4. Step 4: Simplify right side
    33,649.61x = 1,031,669,832.25
  5. Step 5: Solve for x
    x = 1,031,669,832.25/33,649.61
  6. Step 6: Final answer
    x = 30,659.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.