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Finding the Fourth Proportional to 33,286.51, 49,927.03 and 9,912.95

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Solution

The fourth proportional to 33,286.51, 49,927.03 and 9,912.95 is: 14,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,286.51 : 49,927.03 = 9,912.95 : x
  2. Step 2: Convert to fraction form
    33,286.51/49,927.03 = 9,912.95/x
  3. Step 3: Cross multiply
    33,286.51x = 49,927.03 × 9,912.95
  4. Step 4: Simplify right side
    33,286.51x = 494,923,877.62
  5. Step 5: Solve for x
    x = 494,923,877.62/33,286.51
  6. Step 6: Final answer
    x = 14,868.60

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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.