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Finding the Fourth Proportional to 33,091.83, 49,643.88 and 13,384.21

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Solution

The fourth proportional to 33,091.83, 49,643.88 and 13,384.21 is: 20,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,091.83 : 49,643.88 = 13,384.21 : x
  2. Step 2: Convert to fraction form
    33,091.83/49,643.88 = 13,384.21/x
  3. Step 3: Cross multiply
    33,091.83x = 49,643.88 × 13,384.21
  4. Step 4: Simplify right side
    33,091.83x = 664,444,115.13
  5. Step 5: Solve for x
    x = 664,444,115.13/33,091.83
  6. Step 6: Final answer
    x = 20,078.80

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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.