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Finding the Fourth Proportional to 33,634.42, 46,414.40 and 20,022.42

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Solution

The fourth proportional to 33,634.42, 46,414.40 and 20,022.42 is: 27,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.42 : 46,414.40 = 20,022.42 : x
  2. Step 2: Convert to fraction form
    33,634.42/46,414.40 = 20,022.42/x
  3. Step 3: Cross multiply
    33,634.42x = 46,414.40 × 20,022.42
  4. Step 4: Simplify right side
    33,634.42x = 929,328,610.85
  5. Step 5: Solve for x
    x = 929,328,610.85/33,634.42
  6. Step 6: Final answer
    x = 27,630.29

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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.