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Finding the Fourth Proportional to 33,072.98, 45,641.21 and 17,965.94

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Solution

The fourth proportional to 33,072.98, 45,641.21 and 17,965.94 is: 24,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072.98 : 45,641.21 = 17,965.94 : x
  2. Step 2: Convert to fraction form
    33,072.98/45,641.21 = 17,965.94/x
  3. Step 3: Cross multiply
    33,072.98x = 45,641.21 × 17,965.94
  4. Step 4: Simplify right side
    33,072.98x = 819,987,240.39
  5. Step 5: Solve for x
    x = 819,987,240.39/33,072.98
  6. Step 6: Final answer
    x = 24,793.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.