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Finding the Fourth Proportional to 33,563.25, 46,318.62 and 20,129.60

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Solution

The fourth proportional to 33,563.25, 46,318.62 and 20,129.60 is: 27,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,563.25 : 46,318.62 = 20,129.60 : x
  2. Step 2: Convert to fraction form
    33,563.25/46,318.62 = 20,129.60/x
  3. Step 3: Cross multiply
    33,563.25x = 46,318.62 × 20,129.60
  4. Step 4: Simplify right side
    33,563.25x = 932,375,484.43
  5. Step 5: Solve for x
    x = 932,375,484.43/33,563.25
  6. Step 6: Final answer
    x = 27,779.65

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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.