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Finding the Fourth Proportional to 31,813.44, 43,906.57 and 19,238.16

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Solution

The fourth proportional to 31,813.44, 43,906.57 and 19,238.16 is: 26,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.44 : 43,906.57 = 19,238.16 : x
  2. Step 2: Convert to fraction form
    31,813.44/43,906.57 = 19,238.16/x
  3. Step 3: Cross multiply
    31,813.44x = 43,906.57 × 19,238.16
  4. Step 4: Simplify right side
    31,813.44x = 844,681,399.18
  5. Step 5: Solve for x
    x = 844,681,399.18/31,813.44
  6. Step 6: Final answer
    x = 26,551.09

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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.