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Finding the Fourth Proportional to 33,213.90, 49,829.94 and 16,553.82

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Solution

The fourth proportional to 33,213.90, 49,829.94 and 16,553.82 is: 24,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,213.90 : 49,829.94 = 16,553.82 : x
  2. Step 2: Convert to fraction form
    33,213.90/49,829.94 = 16,553.82/x
  3. Step 3: Cross multiply
    33,213.90x = 49,829.94 × 16,553.82
  4. Step 4: Simplify right side
    33,213.90x = 824,875,857.37
  5. Step 5: Solve for x
    x = 824,875,857.37/33,213.90
  6. Step 6: Final answer
    x = 24,835.26

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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.