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Finding the Fourth Proportional to 33,207.66, 49,807.38 and 13,467.24

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Solution

The fourth proportional to 33,207.66, 49,807.38 and 13,467.24 is: 20,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,207.66 : 49,807.38 = 13,467.24 : x
  2. Step 2: Convert to fraction form
    33,207.66/49,807.38 = 13,467.24/x
  3. Step 3: Cross multiply
    33,207.66x = 49,807.38 × 13,467.24
  4. Step 4: Simplify right side
    33,207.66x = 670,767,940.23
  5. Step 5: Solve for x
    x = 670,767,940.23/33,207.66
  6. Step 6: Final answer
    x = 20,199.19

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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.