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Finding the Fourth Proportional to 33,229.65, 49,824.40 and 13,242.22

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Solution

The fourth proportional to 33,229.65, 49,824.40 and 13,242.22 is: 19,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,229.65 : 49,824.40 = 13,242.22 : x
  2. Step 2: Convert to fraction form
    33,229.65/49,824.40 = 13,242.22/x
  3. Step 3: Cross multiply
    33,229.65x = 49,824.40 × 13,242.22
  4. Step 4: Simplify right side
    33,229.65x = 659,785,477.47
  5. Step 5: Solve for x
    x = 659,785,477.47/33,229.65
  6. Step 6: Final answer
    x = 19,855.32

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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.