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Finding the Fourth Proportional to 33,821.22, 50,734.06 and 8,861.88

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Solution

The fourth proportional to 33,821.22, 50,734.06 and 8,861.88 is: 13,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821.22 : 50,734.06 = 8,861.88 : x
  2. Step 2: Convert to fraction form
    33,821.22/50,734.06 = 8,861.88/x
  3. Step 3: Cross multiply
    33,821.22x = 50,734.06 × 8,861.88
  4. Step 4: Simplify right side
    33,821.22x = 449,599,151.63
  5. Step 5: Solve for x
    x = 449,599,151.63/33,821.22
  6. Step 6: Final answer
    x = 13,293.40

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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.