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Finding the Fourth Proportional to 30,274.91, 41,791.01 and 22,743.09

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Solution

The fourth proportional to 30,274.91, 41,791.01 and 22,743.09 is: 31,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274.91 : 41,791.01 = 22,743.09 : x
  2. Step 2: Convert to fraction form
    30,274.91/41,791.01 = 22,743.09/x
  3. Step 3: Cross multiply
    30,274.91x = 41,791.01 × 22,743.09
  4. Step 4: Simplify right side
    30,274.91x = 950,456,694.65
  5. Step 5: Solve for x
    x = 950,456,694.65/30,274.91
  6. Step 6: Final answer
    x = 31,394.20

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1.5x scale

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.