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Finding the Fourth Proportional to 107,092.96, 160,640.56 and 43,896.96

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Solution

The fourth proportional to 107,092.96, 160,640.56 and 43,896.96 is: 65,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,092.96 : 160,640.56 = 43,896.96 : x
  2. Step 2: Convert to fraction form
    107,092.96/160,640.56 = 43,896.96/x
  3. Step 3: Cross multiply
    107,092.96x = 160,640.56 × 43,896.96
  4. Step 4: Simplify right side
    107,092.96x = 7,051,632,236.70
  5. Step 5: Solve for x
    x = 7,051,632,236.70/107,092.96
  6. Step 6: Final answer
    x = 65,845.90

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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.