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Finding the Fourth Proportional to 33,072.88, 49,494.91 and 20,417.44

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Solution

The fourth proportional to 33,072.88, 49,494.91 and 20,417.44 is: 30,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072.88 : 49,494.91 = 20,417.44 : x
  2. Step 2: Convert to fraction form
    33,072.88/49,494.91 = 20,417.44/x
  3. Step 3: Cross multiply
    33,072.88x = 49,494.91 × 20,417.44
  4. Step 4: Simplify right side
    33,072.88x = 1,010,559,355.23
  5. Step 5: Solve for x
    x = 1,010,559,355.23/33,072.88
  6. Step 6: Final answer
    x = 30,555.53

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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.