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Finding the Fourth Proportional to 50,105.42, 75,157.86 and 12,665.48

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Solution

The fourth proportional to 50,105.42, 75,157.86 and 12,665.48 is: 18,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,105.42 : 75,157.86 = 12,665.48 : x
  2. Step 2: Convert to fraction form
    50,105.42/75,157.86 = 12,665.48/x
  3. Step 3: Cross multiply
    50,105.42x = 75,157.86 × 12,665.48
  4. Step 4: Simplify right side
    50,105.42x = 951,910,372.67
  5. Step 5: Solve for x
    x = 951,910,372.67/50,105.42
  6. Step 6: Final answer
    x = 18,998.15

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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.