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Finding the Fourth Proportional to 33,072.54, 49,602.21 and 16,198.31

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Solution

The fourth proportional to 33,072.54, 49,602.21 and 16,198.31 is: 24,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072.54 : 49,602.21 = 16,198.31 : x
  2. Step 2: Convert to fraction form
    33,072.54/49,602.21 = 16,198.31/x
  3. Step 3: Cross multiply
    33,072.54x = 49,602.21 × 16,198.31
  4. Step 4: Simplify right side
    33,072.54x = 803,471,726.25
  5. Step 5: Solve for x
    x = 803,471,726.25/33,072.54
  6. Step 6: Final answer
    x = 24,294.22

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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.