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Finding the Fourth Proportional to 33,991.31, 46,911.17 and 20,565.86

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Solution

The fourth proportional to 33,991.31, 46,911.17 and 20,565.86 is: 28,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991.31 : 46,911.17 = 20,565.86 : x
  2. Step 2: Convert to fraction form
    33,991.31/46,911.17 = 20,565.86/x
  3. Step 3: Cross multiply
    33,991.31x = 46,911.17 × 20,565.86
  4. Step 4: Simplify right side
    33,991.31x = 964,768,217.27
  5. Step 5: Solve for x
    x = 964,768,217.27/33,991.31
  6. Step 6: Final answer
    x = 28,382.79

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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.