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Finding the Fourth Proportional to 50,662.97, 75,996 and 17,382.57

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Solution

The fourth proportional to 50,662.97, 75,996 and 17,382.57 is: 26,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,662.97 : 75,996 = 17,382.57 : x
  2. Step 2: Convert to fraction form
    50,662.97/75,996 = 17,382.57/x
  3. Step 3: Cross multiply
    50,662.97x = 75,996 × 17,382.57
  4. Step 4: Simplify right side
    50,662.97x = 1,321,005,789.72
  5. Step 5: Solve for x
    x = 1,321,005,789.72/50,662.97
  6. Step 6: Final answer
    x = 26,074.39

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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.