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Finding the Fourth Proportional to 50,414.88, 75,616.56 and 13,481.76

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Solution

The fourth proportional to 50,414.88, 75,616.56 and 13,481.76 is: 20,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,414.88 : 75,616.56 = 13,481.76 : x
  2. Step 2: Convert to fraction form
    50,414.88/75,616.56 = 13,481.76/x
  3. Step 3: Cross multiply
    50,414.88x = 75,616.56 × 13,481.76
  4. Step 4: Simplify right side
    50,414.88x = 1,019,444,313.95
  5. Step 5: Solve for x
    x = 1,019,444,313.95/50,414.88
  6. Step 6: Final answer
    x = 20,221.10

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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.