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Finding the Fourth Proportional to 33,553.98, 50,086.76 and 31,121.82

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Solution

The fourth proportional to 33,553.98, 50,086.76 and 31,121.82 is: 46,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,553.98 : 50,086.76 = 31,121.82 : x
  2. Step 2: Convert to fraction form
    33,553.98/50,086.76 = 31,121.82/x
  3. Step 3: Cross multiply
    33,553.98x = 50,086.76 × 31,121.82
  4. Step 4: Simplify right side
    33,553.98x = 1,558,790,973.49
  5. Step 5: Solve for x
    x = 1,558,790,973.49/33,553.98
  6. Step 6: Final answer
    x = 46,456.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.