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Finding the Fourth Proportional to 65,963.73, 91,039.71 and 41,766.94

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Solution

The fourth proportional to 65,963.73, 91,039.71 and 41,766.94 is: 57,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,963.73 : 91,039.71 = 41,766.94 : x
  2. Step 2: Convert to fraction form
    65,963.73/91,039.71 = 41,766.94/x
  3. Step 3: Cross multiply
    65,963.73x = 91,039.71 × 41,766.94
  4. Step 4: Simplify right side
    65,963.73x = 3,802,450,105.19
  5. Step 5: Solve for x
    x = 3,802,450,105.19/65,963.73
  6. Step 6: Final answer
    x = 57,644.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.