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Finding the Fourth Proportional to 33,589, 50,349.48 and 13,878.46

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Solution

The fourth proportional to 33,589, 50,349.48 and 13,878.46 is: 20,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,589 : 50,349.48 = 13,878.46 : x
  2. Step 2: Convert to fraction form
    33,589/50,349.48 = 13,878.46/x
  3. Step 3: Cross multiply
    33,589x = 50,349.48 × 13,878.46
  4. Step 4: Simplify right side
    33,589x = 698,773,244.20
  5. Step 5: Solve for x
    x = 698,773,244.20/33,589
  6. Step 6: Final answer
    x = 20,803.63

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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.