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Finding the Fourth Proportional to 50,665.89, 75,998.82 and 13,729.89

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Solution

The fourth proportional to 50,665.89, 75,998.82 and 13,729.89 is: 20,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,665.89 : 75,998.82 = 13,729.89 : x
  2. Step 2: Convert to fraction form
    50,665.89/75,998.82 = 13,729.89/x
  3. Step 3: Cross multiply
    50,665.89x = 75,998.82 × 13,729.89
  4. Step 4: Simplify right side
    50,665.89x = 1,043,455,438.73
  5. Step 5: Solve for x
    x = 1,043,455,438.73/50,665.89
  6. Step 6: Final answer
    x = 20,594.83

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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.