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Finding the Fourth Proportional to 106,542.89, 159,796.87 and 43,360.46

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Solution

The fourth proportional to 106,542.89, 159,796.87 and 43,360.46 is: 65,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,542.89 : 159,796.87 = 43,360.46 : x
  2. Step 2: Convert to fraction form
    106,542.89/159,796.87 = 43,360.46/x
  3. Step 3: Cross multiply
    106,542.89x = 159,796.87 × 43,360.46
  4. Step 4: Simplify right side
    106,542.89x = 6,928,865,481.61
  5. Step 5: Solve for x
    x = 6,928,865,481.61/106,542.89
  6. Step 6: Final answer
    x = 65,033.58

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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.