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Finding the Fourth Proportional to 33,100.57, 49,650.81 and 14,378.23

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Solution

The fourth proportional to 33,100.57, 49,650.81 and 14,378.23 is: 21,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,100.57 : 49,650.81 = 14,378.23 : x
  2. Step 2: Convert to fraction form
    33,100.57/49,650.81 = 14,378.23/x
  3. Step 3: Cross multiply
    33,100.57x = 49,650.81 × 14,378.23
  4. Step 4: Simplify right side
    33,100.57x = 713,890,765.87
  5. Step 5: Solve for x
    x = 713,890,765.87/33,100.57
  6. Step 6: Final answer
    x = 21,567.33

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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.