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Finding the Fourth Proportional to 33,912.88, 46,797.24 and 19,006

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Solution

The fourth proportional to 33,912.88, 46,797.24 and 19,006 is: 26,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,912.88 : 46,797.24 = 19,006 : x
  2. Step 2: Convert to fraction form
    33,912.88/46,797.24 = 19,006/x
  3. Step 3: Cross multiply
    33,912.88x = 46,797.24 × 19,006
  4. Step 4: Simplify right side
    33,912.88x = 889,428,343.44
  5. Step 5: Solve for x
    x = 889,428,343.44/33,912.88
  6. Step 6: Final answer
    x = 26,226.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.