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Finding the Fourth Proportional to 96,496.26, 133,163.38 and 54,056.30

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Solution

The fourth proportional to 96,496.26, 133,163.38 and 54,056.30 is: 74,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,496.26 : 133,163.38 = 54,056.30 : x
  2. Step 2: Convert to fraction form
    96,496.26/133,163.38 = 54,056.30/x
  3. Step 3: Cross multiply
    96,496.26x = 133,163.38 × 54,056.30
  4. Step 4: Simplify right side
    96,496.26x = 7,198,319,618.29
  5. Step 5: Solve for x
    x = 7,198,319,618.29/96,496.26
  6. Step 6: Final answer
    x = 74,596.88

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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.