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Finding the Fourth Proportional to 33,840.49, 50,765.60 and 10,468.75

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Solution

The fourth proportional to 33,840.49, 50,765.60 and 10,468.75 is: 15,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840.49 : 50,765.60 = 10,468.75 : x
  2. Step 2: Convert to fraction form
    33,840.49/50,765.60 = 10,468.75/x
  3. Step 3: Cross multiply
    33,840.49x = 50,765.60 × 10,468.75
  4. Step 4: Simplify right side
    33,840.49x = 531,452,375
  5. Step 5: Solve for x
    x = 531,452,375/33,840.49
  6. Step 6: Final answer
    x = 15,704.63

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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.