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Finding the Fourth Proportional to 57,067.50, 85,640.13 and 20,131.50

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Solution

The fourth proportional to 57,067.50, 85,640.13 and 20,131.50 is: 30,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,067.50 : 85,640.13 = 20,131.50 : x
  2. Step 2: Convert to fraction form
    57,067.50/85,640.13 = 20,131.50/x
  3. Step 3: Cross multiply
    57,067.50x = 85,640.13 × 20,131.50
  4. Step 4: Simplify right side
    57,067.50x = 1,724,064,277.10
  5. Step 5: Solve for x
    x = 1,724,064,277.10/57,067.50
  6. Step 6: Final answer
    x = 30,210.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.