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Finding the Fourth Proportional to 33,099.39, 49,684.46 and 13,390.83

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Solution

The fourth proportional to 33,099.39, 49,684.46 and 13,390.83 is: 20,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099.39 : 49,684.46 = 13,390.83 : x
  2. Step 2: Convert to fraction form
    33,099.39/49,684.46 = 13,390.83/x
  3. Step 3: Cross multiply
    33,099.39x = 49,684.46 × 13,390.83
  4. Step 4: Simplify right side
    33,099.39x = 665,316,157.50
  5. Step 5: Solve for x
    x = 665,316,157.50/33,099.39
  6. Step 6: Final answer
    x = 20,100.56

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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.