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Finding the Fourth Proportional to 50,546.76, 75,825 and 15,480.24

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Solution

The fourth proportional to 50,546.76, 75,825 and 15,480.24 is: 23,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,546.76 : 75,825 = 15,480.24 : x
  2. Step 2: Convert to fraction form
    50,546.76/75,825 = 15,480.24/x
  3. Step 3: Cross multiply
    50,546.76x = 75,825 × 15,480.24
  4. Step 4: Simplify right side
    50,546.76x = 1,173,789,198
  5. Step 5: Solve for x
    x = 1,173,789,198/50,546.76
  6. Step 6: Final answer
    x = 23,221.85

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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.