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Finding the Fourth Proportional to 33,057.98, 49,586.87 and 11,998.00

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Solution

The fourth proportional to 33,057.98, 49,586.87 and 11,998.00 is: 17,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057.98 : 49,586.87 = 11,998.00 : x
  2. Step 2: Convert to fraction form
    33,057.98/49,586.87 = 11,998.00/x
  3. Step 3: Cross multiply
    33,057.98x = 49,586.87 × 11,998.00
  4. Step 4: Simplify right side
    33,057.98x = 594,943,172.29
  5. Step 5: Solve for x
    x = 594,943,172.29/33,057.98
  6. Step 6: Final answer
    x = 17,996.96

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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.