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Finding the Fourth Proportional to 57,951.87, 86,960.45 and 31,297.47

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Solution

The fourth proportional to 57,951.87, 86,960.45 and 31,297.47 is: 46,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,951.87 : 86,960.45 = 31,297.47 : x
  2. Step 2: Convert to fraction form
    57,951.87/86,960.45 = 31,297.47/x
  3. Step 3: Cross multiply
    57,951.87x = 86,960.45 × 31,297.47
  4. Step 4: Simplify right side
    57,951.87x = 2,721,641,918.57
  5. Step 5: Solve for x
    x = 2,721,641,918.57/57,951.87
  6. Step 6: Final answer
    x = 46,963.83

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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.