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Finding the Fourth Proportional to 33,033.88, 49,559.46 and 19,171

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Solution

The fourth proportional to 33,033.88, 49,559.46 and 19,171 is: 28,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,033.88 : 49,559.46 = 19,171 : x
  2. Step 2: Convert to fraction form
    33,033.88/49,559.46 = 19,171/x
  3. Step 3: Cross multiply
    33,033.88x = 49,559.46 × 19,171
  4. Step 4: Simplify right side
    33,033.88x = 950,104,407.66
  5. Step 5: Solve for x
    x = 950,104,407.66/33,033.88
  6. Step 6: Final answer
    x = 28,761.51

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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.