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Finding the Fourth Proportional to 67,382.88, 100,942.98 and 41,022.24

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Solution

The fourth proportional to 67,382.88, 100,942.98 and 41,022.24 is: 61,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,382.88 : 100,942.98 = 41,022.24 : x
  2. Step 2: Convert to fraction form
    67,382.88/100,942.98 = 41,022.24/x
  3. Step 3: Cross multiply
    67,382.88x = 100,942.98 × 41,022.24
  4. Step 4: Simplify right side
    67,382.88x = 4,140,907,151.88
  5. Step 5: Solve for x
    x = 4,140,907,151.88/67,382.88
  6. Step 6: Final answer
    x = 61,453.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.