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Finding the Fourth Proportional to 50,178.96, 75,270.60 and 47,790

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Solution

The fourth proportional to 50,178.96, 75,270.60 and 47,790 is: 71,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,178.96 : 75,270.60 = 47,790 : x
  2. Step 2: Convert to fraction form
    50,178.96/75,270.60 = 47,790/x
  3. Step 3: Cross multiply
    50,178.96x = 75,270.60 × 47,790
  4. Step 4: Simplify right side
    50,178.96x = 3,597,181,974.00
  5. Step 5: Solve for x
    x = 3,597,181,974.00/50,178.96
  6. Step 6: Final answer
    x = 71,687.06

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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.