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Finding the Fourth Proportional to 33,209.66, 49,810.38 and 13,469.24

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Solution

The fourth proportional to 33,209.66, 49,810.38 and 13,469.24 is: 20,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209.66 : 49,810.38 = 13,469.24 : x
  2. Step 2: Convert to fraction form
    33,209.66/49,810.38 = 13,469.24/x
  3. Step 3: Cross multiply
    33,209.66x = 49,810.38 × 13,469.24
  4. Step 4: Simplify right side
    33,209.66x = 670,907,962.71
  5. Step 5: Solve for x
    x = 670,907,962.71/33,209.66
  6. Step 6: Final answer
    x = 20,202.19

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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.