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Finding the Fourth Proportional to 33,107.40, 49,647.90 and 10,914.60

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Solution

The fourth proportional to 33,107.40, 49,647.90 and 10,914.60 is: 16,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,107.40 : 49,647.90 = 10,914.60 : x
  2. Step 2: Convert to fraction form
    33,107.40/49,647.90 = 10,914.60/x
  3. Step 3: Cross multiply
    33,107.40x = 49,647.90 × 10,914.60
  4. Step 4: Simplify right side
    33,107.40x = 541,886,969.34
  5. Step 5: Solve for x
    x = 541,886,969.34/33,107.40
  6. Step 6: Final answer
    x = 16,367.55

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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.