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Finding the Fourth Proportional to 96,121.38, 132,650.16 and 53,682.66

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Solution

The fourth proportional to 96,121.38, 132,650.16 and 53,682.66 is: 74,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,121.38 : 132,650.16 = 53,682.66 : x
  2. Step 2: Convert to fraction form
    96,121.38/132,650.16 = 53,682.66/x
  3. Step 3: Cross multiply
    96,121.38x = 132,650.16 × 53,682.66
  4. Step 4: Simplify right side
    96,121.38x = 7,121,013,438.23
  5. Step 5: Solve for x
    x = 7,121,013,438.23/96,121.38
  6. Step 6: Final answer
    x = 74,083.55

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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.