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Finding the Fourth Proportional to 97,957.97, 135,183.53 and 54,947.01

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Solution

The fourth proportional to 97,957.97, 135,183.53 and 54,947.01 is: 75,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,957.97 : 135,183.53 = 54,947.01 : x
  2. Step 2: Convert to fraction form
    97,957.97/135,183.53 = 54,947.01/x
  3. Step 3: Cross multiply
    97,957.97x = 135,183.53 × 54,947.01
  4. Step 4: Simplify right side
    97,957.97x = 7,427,930,500.01
  5. Step 5: Solve for x
    x = 7,427,930,500.01/97,957.97
  6. Step 6: Final answer
    x = 75,827.73

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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.