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Finding the Fourth Proportional to 33,634.92, 46,415.09 and 20,022.92

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Solution

The fourth proportional to 33,634.92, 46,415.09 and 20,022.92 is: 27,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.92 : 46,415.09 = 20,022.92 : x
  2. Step 2: Convert to fraction form
    33,634.92/46,415.09 = 20,022.92/x
  3. Step 3: Cross multiply
    33,634.92x = 46,415.09 × 20,022.92
  4. Step 4: Simplify right side
    33,634.92x = 929,365,633.86
  5. Step 5: Solve for x
    x = 929,365,633.86/33,634.92
  6. Step 6: Final answer
    x = 27,630.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.