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Finding the Fourth Proportional to 96,584.67, 133,286.31 and 54,142.29

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Solution

The fourth proportional to 96,584.67, 133,286.31 and 54,142.29 is: 74,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,584.67 : 133,286.31 = 54,142.29 : x
  2. Step 2: Convert to fraction form
    96,584.67/133,286.31 = 54,142.29/x
  3. Step 3: Cross multiply
    96,584.67x = 133,286.31 × 54,142.29
  4. Step 4: Simplify right side
    96,584.67x = 7,216,426,049.05
  5. Step 5: Solve for x
    x = 7,216,426,049.05/96,584.67
  6. Step 6: Final answer
    x = 74,716.06

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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.