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Finding the Fourth Proportional to 33,098.39, 49,682.96 and 13,389.83

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Solution

The fourth proportional to 33,098.39, 49,682.96 and 13,389.83 is: 20,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.39 : 49,682.96 = 13,389.83 : x
  2. Step 2: Convert to fraction form
    33,098.39/49,682.96 = 13,389.83/x
  3. Step 3: Cross multiply
    33,098.39x = 49,682.96 × 13,389.83
  4. Step 4: Simplify right side
    33,098.39x = 665,246,321.35
  5. Step 5: Solve for x
    x = 665,246,321.35/33,098.39
  6. Step 6: Final answer
    x = 20,099.05

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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.