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Finding the Fourth Proportional to 33,105.40, 49,644.90 and 10,912.60

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Solution

The fourth proportional to 33,105.40, 49,644.90 and 10,912.60 is: 16,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,105.40 : 49,644.90 = 10,912.60 : x
  2. Step 2: Convert to fraction form
    33,105.40/49,644.90 = 10,912.60/x
  3. Step 3: Cross multiply
    33,105.40x = 49,644.90 × 10,912.60
  4. Step 4: Simplify right side
    33,105.40x = 541,754,935.74
  5. Step 5: Solve for x
    x = 541,754,935.74/33,105.40
  6. Step 6: Final answer
    x = 16,364.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.