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Finding the Fourth Proportional to 33,108.52, 49,647.14 and 12,033.73

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Solution

The fourth proportional to 33,108.52, 49,647.14 and 12,033.73 is: 18,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,108.52 : 49,647.14 = 12,033.73 : x
  2. Step 2: Convert to fraction form
    33,108.52/49,647.14 = 12,033.73/x
  3. Step 3: Cross multiply
    33,108.52x = 49,647.14 × 12,033.73
  4. Step 4: Simplify right side
    33,108.52x = 597,440,278.03
  5. Step 5: Solve for x
    x = 597,440,278.03/33,108.52
  6. Step 6: Final answer
    x = 18,044.91

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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.