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Finding the Fourth Proportional to 33,506.46, 50,270.22 and 13,794.30

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Solution

The fourth proportional to 33,506.46, 50,270.22 and 13,794.30 is: 20,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,506.46 : 50,270.22 = 13,794.30 : x
  2. Step 2: Convert to fraction form
    33,506.46/50,270.22 = 13,794.30/x
  3. Step 3: Cross multiply
    33,506.46x = 50,270.22 × 13,794.30
  4. Step 4: Simplify right side
    33,506.46x = 693,442,495.75
  5. Step 5: Solve for x
    x = 693,442,495.75/33,506.46
  6. Step 6: Final answer
    x = 20,695.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.