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Finding the Fourth Proportional to 33,174.68, 49,771.80 and 13,467.44

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Solution

The fourth proportional to 33,174.68, 49,771.80 and 13,467.44 is: 20,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,174.68 : 49,771.80 = 13,467.44 : x
  2. Step 2: Convert to fraction form
    33,174.68/49,771.80 = 13,467.44/x
  3. Step 3: Cross multiply
    33,174.68x = 49,771.80 × 13,467.44
  4. Step 4: Simplify right side
    33,174.68x = 670,298,730.19
  5. Step 5: Solve for x
    x = 670,298,730.19/33,174.68
  6. Step 6: Final answer
    x = 20,205.13

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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.