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Finding the Fourth Proportional to 96,183.68, 132,724 and 53,741.28

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Solution

The fourth proportional to 96,183.68, 132,724 and 53,741.28 is: 74,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,183.68 : 132,724 = 53,741.28 : x
  2. Step 2: Convert to fraction form
    96,183.68/132,724 = 53,741.28/x
  3. Step 3: Cross multiply
    96,183.68x = 132,724 × 53,741.28
  4. Step 4: Simplify right side
    96,183.68x = 7,132,757,646.72
  5. Step 5: Solve for x
    x = 7,132,757,646.72/96,183.68
  6. Step 6: Final answer
    x = 74,157.67

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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.