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Finding the Fourth Proportional to 62,147.92, 85,764 and 33,853.54

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Solution

The fourth proportional to 62,147.92, 85,764 and 33,853.54 is: 46,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,147.92 : 85,764 = 33,853.54 : x
  2. Step 2: Convert to fraction form
    62,147.92/85,764 = 33,853.54/x
  3. Step 3: Cross multiply
    62,147.92x = 85,764 × 33,853.54
  4. Step 4: Simplify right side
    62,147.92x = 2,903,415,004.56
  5. Step 5: Solve for x
    x = 2,903,415,004.56/62,147.92
  6. Step 6: Final answer
    x = 46,717.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.