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Finding the Fourth Proportional to 96,065.38, 132,598.38 and 55,797.24

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Solution

The fourth proportional to 96,065.38, 132,598.38 and 55,797.24 is: 77,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,065.38 : 132,598.38 = 55,797.24 : x
  2. Step 2: Convert to fraction form
    96,065.38/132,598.38 = 55,797.24/x
  3. Step 3: Cross multiply
    96,065.38x = 132,598.38 × 55,797.24
  4. Step 4: Simplify right side
    96,065.38x = 7,398,623,632.47
  5. Step 5: Solve for x
    x = 7,398,623,632.47/96,065.38
  6. Step 6: Final answer
    x = 77,016.54

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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.