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Finding the Fourth Proportional to 33,338.34, 49,978.08 and 12,576.42

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Solution

The fourth proportional to 33,338.34, 49,978.08 and 12,576.42 is: 18,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,338.34 : 49,978.08 = 12,576.42 : x
  2. Step 2: Convert to fraction form
    33,338.34/49,978.08 = 12,576.42/x
  3. Step 3: Cross multiply
    33,338.34x = 49,978.08 × 12,576.42
  4. Step 4: Simplify right side
    33,338.34x = 628,545,324.87
  5. Step 5: Solve for x
    x = 628,545,324.87/33,338.34
  6. Step 6: Final answer
    x = 18,853.53

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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.