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Finding the Fourth Proportional to 96,176.38, 132,700.66 and 55,866.20

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Solution

The fourth proportional to 96,176.38, 132,700.66 and 55,866.20 is: 77,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,176.38 : 132,700.66 = 55,866.20 : x
  2. Step 2: Convert to fraction form
    96,176.38/132,700.66 = 55,866.20/x
  3. Step 3: Cross multiply
    96,176.38x = 132,700.66 × 55,866.20
  4. Step 4: Simplify right side
    96,176.38x = 7,413,481,611.69
  5. Step 5: Solve for x
    x = 7,413,481,611.69/96,176.38
  6. Step 6: Final answer
    x = 77,082.14

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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.