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Finding the Fourth Proportional to 96,183.28, 132,730.38 and 53,742.16

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Solution

The fourth proportional to 96,183.28, 132,730.38 and 53,742.16 is: 74,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,183.28 : 132,730.38 = 53,742.16 : x
  2. Step 2: Convert to fraction form
    96,183.28/132,730.38 = 53,742.16/x
  3. Step 3: Cross multiply
    96,183.28x = 132,730.38 × 53,742.16
  4. Step 4: Simplify right side
    96,183.28x = 7,133,217,318.82
  5. Step 5: Solve for x
    x = 7,133,217,318.82/96,183.28
  6. Step 6: Final answer
    x = 74,162.76

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