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Finding the Fourth Proportional to 61,295.54, 91,896.57 and 31,694.49

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Solution

The fourth proportional to 61,295.54, 91,896.57 and 31,694.49 is: 47,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,295.54 : 91,896.57 = 31,694.49 : x
  2. Step 2: Convert to fraction form
    61,295.54/91,896.57 = 31,694.49/x
  3. Step 3: Cross multiply
    61,295.54x = 91,896.57 × 31,694.49
  4. Step 4: Simplify right side
    61,295.54x = 2,912,614,918.90
  5. Step 5: Solve for x
    x = 2,912,614,918.90/61,295.54
  6. Step 6: Final answer
    x = 47,517.57

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Why These Related Problems?

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