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Finding the Fourth Proportional to 39,205.69, 54,099.94 and 22,206.54

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Solution

The fourth proportional to 39,205.69, 54,099.94 and 22,206.54 is: 30,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,205.69 : 54,099.94 = 22,206.54 : x
  2. Step 2: Convert to fraction form
    39,205.69/54,099.94 = 22,206.54/x
  3. Step 3: Cross multiply
    39,205.69x = 54,099.94 × 22,206.54
  4. Step 4: Simplify right side
    39,205.69x = 1,201,372,481.61
  5. Step 5: Solve for x
    x = 1,201,372,481.61/39,205.69
  6. Step 6: Final answer
    x = 30,642.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.