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Finding the Fourth Proportional to 33,524.88, 50,266.44 and 11,331.60

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Solution

The fourth proportional to 33,524.88, 50,266.44 and 11,331.60 is: 16,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524.88 : 50,266.44 = 11,331.60 : x
  2. Step 2: Convert to fraction form
    33,524.88/50,266.44 = 11,331.60/x
  3. Step 3: Cross multiply
    33,524.88x = 50,266.44 × 11,331.60
  4. Step 4: Simplify right side
    33,524.88x = 569,599,191.50
  5. Step 5: Solve for x
    x = 569,599,191.50/33,524.88
  6. Step 6: Final answer
    x = 16,990.34

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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.