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Finding the Fourth Proportional to 33,649.22, 50,409.14 and 18,813.14

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Solution

The fourth proportional to 33,649.22, 50,409.14 and 18,813.14 is: 28,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649.22 : 50,409.14 = 18,813.14 : x
  2. Step 2: Convert to fraction form
    33,649.22/50,409.14 = 18,813.14/x
  3. Step 3: Cross multiply
    33,649.22x = 50,409.14 × 18,813.14
  4. Step 4: Simplify right side
    33,649.22x = 948,354,208.10
  5. Step 5: Solve for x
    x = 948,354,208.10/33,649.22
  6. Step 6: Final answer
    x = 28,183.55

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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.