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Finding the Fourth Proportional to 33,480.96, 46,201.92 and 18,576

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Solution

The fourth proportional to 33,480.96, 46,201.92 and 18,576 is: 25,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,480.96 : 46,201.92 = 18,576 : x
  2. Step 2: Convert to fraction form
    33,480.96/46,201.92 = 18,576/x
  3. Step 3: Cross multiply
    33,480.96x = 46,201.92 × 18,576
  4. Step 4: Simplify right side
    33,480.96x = 858,246,865.92
  5. Step 5: Solve for x
    x = 858,246,865.92/33,480.96
  6. Step 6: Final answer
    x = 25,633.88

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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.