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Finding the Fourth Proportional to 52,097.90, 71,896.46 and 31,943.18

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Solution

The fourth proportional to 52,097.90, 71,896.46 and 31,943.18 is: 44,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097.90 : 71,896.46 = 31,943.18 : x
  2. Step 2: Convert to fraction form
    52,097.90/71,896.46 = 31,943.18/x
  3. Step 3: Cross multiply
    52,097.90x = 71,896.46 × 31,943.18
  4. Step 4: Simplify right side
    52,097.90x = 2,296,601,358.43
  5. Step 5: Solve for x
    x = 2,296,601,358.43/52,097.90
  6. Step 6: Final answer
    x = 44,082.42

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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.