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Finding the Fourth Proportional to 33,516.78, 49,979.12 and 33,216.54

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Solution

The fourth proportional to 33,516.78, 49,979.12 and 33,216.54 is: 49,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,516.78 : 49,979.12 = 33,216.54 : x
  2. Step 2: Convert to fraction form
    33,516.78/49,979.12 = 33,216.54/x
  3. Step 3: Cross multiply
    33,516.78x = 49,979.12 × 33,216.54
  4. Step 4: Simplify right side
    33,516.78x = 1,660,133,272.56
  5. Step 5: Solve for x
    x = 1,660,133,272.56/33,516.78
  6. Step 6: Final answer
    x = 49,531.41

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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.