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Finding the Fourth Proportional to 33,171.12, 49,755.06 and 12,393

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Solution

The fourth proportional to 33,171.12, 49,755.06 and 12,393 is: 18,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,171.12 : 49,755.06 = 12,393 : x
  2. Step 2: Convert to fraction form
    33,171.12/49,755.06 = 12,393/x
  3. Step 3: Cross multiply
    33,171.12x = 49,755.06 × 12,393
  4. Step 4: Simplify right side
    33,171.12x = 616,614,458.58
  5. Step 5: Solve for x
    x = 616,614,458.58/33,171.12
  6. Step 6: Final answer
    x = 18,588.89

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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.