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Finding the Fourth Proportional to 83,640.49, 115,446 and 51,791.29

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Solution

The fourth proportional to 83,640.49, 115,446 and 51,791.29 is: 71,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,640.49 : 115,446 = 51,791.29 : x
  2. Step 2: Convert to fraction form
    83,640.49/115,446 = 51,791.29/x
  3. Step 3: Cross multiply
    83,640.49x = 115,446 × 51,791.29
  4. Step 4: Simplify right side
    83,640.49x = 5,979,097,265.34
  5. Step 5: Solve for x
    x = 5,979,097,265.34/83,640.49
  6. Step 6: Final answer
    x = 71,485.68

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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.