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Finding the Fourth Proportional to 100,360.20, 150,486.84 and 33,778.20

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Solution

The fourth proportional to 100,360.20, 150,486.84 and 33,778.20 is: 50,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,360.20 : 150,486.84 = 33,778.20 : x
  2. Step 2: Convert to fraction form
    100,360.20/150,486.84 = 33,778.20/x
  3. Step 3: Cross multiply
    100,360.20x = 150,486.84 × 33,778.20
  4. Step 4: Simplify right side
    100,360.20x = 5,083,174,578.89
  5. Step 5: Solve for x
    x = 5,083,174,578.89/100,360.20
  6. Step 6: Final answer
    x = 50,649.31

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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.