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Finding the Fourth Proportional to 50,867.12, 76,286.12 and 17,578.48

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Solution

The fourth proportional to 50,867.12, 76,286.12 and 17,578.48 is: 26,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,867.12 : 76,286.12 = 17,578.48 : x
  2. Step 2: Convert to fraction form
    50,867.12/76,286.12 = 17,578.48/x
  3. Step 3: Cross multiply
    50,867.12x = 76,286.12 × 17,578.48
  4. Step 4: Simplify right side
    50,867.12x = 1,340,994,034.70
  5. Step 5: Solve for x
    x = 1,340,994,034.70/50,867.12
  6. Step 6: Final answer
    x = 26,362.69

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