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Finding the Fourth Proportional to 31,771.17, 43,844.22 and 19,834.47

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Solution

The fourth proportional to 31,771.17, 43,844.22 and 19,834.47 is: 27,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.17 : 43,844.22 = 19,834.47 : x
  2. Step 2: Convert to fraction form
    31,771.17/43,844.22 = 19,834.47/x
  3. Step 3: Cross multiply
    31,771.17x = 43,844.22 × 19,834.47
  4. Step 4: Simplify right side
    31,771.17x = 869,626,866.26
  5. Step 5: Solve for x
    x = 869,626,866.26/31,771.17
  6. Step 6: Final answer
    x = 27,371.57

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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.