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Finding the Fourth Proportional to 96,201.38, 132,760.74 and 53,760.02

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Solution

The fourth proportional to 96,201.38, 132,760.74 and 53,760.02 is: 74,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,201.38 : 132,760.74 = 53,760.02 : x
  2. Step 2: Convert to fraction form
    96,201.38/132,760.74 = 53,760.02/x
  3. Step 3: Cross multiply
    96,201.38x = 132,760.74 × 53,760.02
  4. Step 4: Simplify right side
    96,201.38x = 7,137,219,373.81
  5. Step 5: Solve for x
    x = 7,137,219,373.81/96,201.38
  6. Step 6: Final answer
    x = 74,190.41

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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.