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Finding the Fourth Proportional to 33,770.48, 50,656.32 and 8,809

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Solution

The fourth proportional to 33,770.48, 50,656.32 and 8,809 is: 13,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,770.48 : 50,656.32 = 8,809 : x
  2. Step 2: Convert to fraction form
    33,770.48/50,656.32 = 8,809/x
  3. Step 3: Cross multiply
    33,770.48x = 50,656.32 × 8,809
  4. Step 4: Simplify right side
    33,770.48x = 446,231,522.88
  5. Step 5: Solve for x
    x = 446,231,522.88/33,770.48
  6. Step 6: Final answer
    x = 13,213.66

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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.