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Finding the Fourth Proportional to 96,195.57, 132,749.47 and 53,754.09

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Solution

The fourth proportional to 96,195.57, 132,749.47 and 53,754.09 is: 74,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,195.57 : 132,749.47 = 53,754.09 : x
  2. Step 2: Convert to fraction form
    96,195.57/132,749.47 = 53,754.09/x
  3. Step 3: Cross multiply
    96,195.57x = 132,749.47 × 53,754.09
  4. Step 4: Simplify right side
    96,195.57x = 7,135,826,957.83
  5. Step 5: Solve for x
    x = 7,135,826,957.83/96,195.57
  6. Step 6: Final answer
    x = 74,180.41

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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.