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Finding the Fourth Proportional to 33,177, 49,713.24 and 23,171.88

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Solution

The fourth proportional to 33,177, 49,713.24 and 23,171.88 is: 34,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,177 : 49,713.24 = 23,171.88 : x
  2. Step 2: Convert to fraction form
    33,177/49,713.24 = 23,171.88/x
  3. Step 3: Cross multiply
    33,177x = 49,713.24 × 23,171.88
  4. Step 4: Simplify right side
    33,177x = 1,151,949,231.69
  5. Step 5: Solve for x
    x = 1,151,949,231.69/33,177
  6. Step 6: Final answer
    x = 34,721.32

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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.