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Finding the Fourth Proportional to 39,205.55, 54,099.75 and 22,206.41

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Solution

The fourth proportional to 39,205.55, 54,099.75 and 22,206.41 is: 30,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,205.55 : 54,099.75 = 22,206.41 : x
  2. Step 2: Convert to fraction form
    39,205.55/54,099.75 = 22,206.41/x
  3. Step 3: Cross multiply
    39,205.55x = 54,099.75 × 22,206.41
  4. Step 4: Simplify right side
    39,205.55x = 1,201,361,229.40
  5. Step 5: Solve for x
    x = 1,201,361,229.40/39,205.55
  6. Step 6: Final answer
    x = 30,642.63

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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.