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Finding the Fourth Proportional to 103,578.20, 155,379.30 and 33,464.60

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Solution

The fourth proportional to 103,578.20, 155,379.30 and 33,464.60 is: 50,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,578.20 : 155,379.30 = 33,464.60 : x
  2. Step 2: Convert to fraction form
    103,578.20/155,379.30 = 33,464.60/x
  3. Step 3: Cross multiply
    103,578.20x = 155,379.30 × 33,464.60
  4. Step 4: Simplify right side
    103,578.20x = 5,199,706,122.78
  5. Step 5: Solve for x
    x = 5,199,706,122.78/103,578.20
  6. Step 6: Final answer
    x = 50,200.78

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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.