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Finding the Fourth Proportional to 33,164.68, 49,502.81 and 30,394.48

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Solution

The fourth proportional to 33,164.68, 49,502.81 and 30,394.48 is: 45,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.68 : 49,502.81 = 30,394.48 : x
  2. Step 2: Convert to fraction form
    33,164.68/49,502.81 = 30,394.48/x
  3. Step 3: Cross multiply
    33,164.68x = 49,502.81 × 30,394.48
  4. Step 4: Simplify right side
    33,164.68x = 1,504,612,168.49
  5. Step 5: Solve for x
    x = 1,504,612,168.49/33,164.68
  6. Step 6: Final answer
    x = 45,367.91

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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.