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Finding the Fourth Proportional to 50,906.73, 70,292.56 and 31,808.75

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Solution

The fourth proportional to 50,906.73, 70,292.56 and 31,808.75 is: 43,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,906.73 : 70,292.56 = 31,808.75 : x
  2. Step 2: Convert to fraction form
    50,906.73/70,292.56 = 31,808.75/x
  3. Step 3: Cross multiply
    50,906.73x = 70,292.56 × 31,808.75
  4. Step 4: Simplify right side
    50,906.73x = 2,235,918,467.90
  5. Step 5: Solve for x
    x = 2,235,918,467.90/50,906.73
  6. Step 6: Final answer
    x = 43,921.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.