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Finding the Fourth Proportional to 30,338.50, 41,867.33 and 16,910.61

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Solution

The fourth proportional to 30,338.50, 41,867.33 and 16,910.61 is: 23,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.50 : 41,867.33 = 16,910.61 : x
  2. Step 2: Convert to fraction form
    30,338.50/41,867.33 = 16,910.61/x
  3. Step 3: Cross multiply
    30,338.50x = 41,867.33 × 16,910.61
  4. Step 4: Simplify right side
    30,338.50x = 708,001,942.94
  5. Step 5: Solve for x
    x = 708,001,942.94/30,338.50
  6. Step 6: Final answer
    x = 23,336.75

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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.