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Finding the Fourth Proportional to 50,524.74, 75,745.50 and 20,132.94

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Solution

The fourth proportional to 50,524.74, 75,745.50 and 20,132.94 is: 30,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,524.74 : 75,745.50 = 20,132.94 : x
  2. Step 2: Convert to fraction form
    50,524.74/75,745.50 = 20,132.94/x
  3. Step 3: Cross multiply
    50,524.74x = 75,745.50 × 20,132.94
  4. Step 4: Simplify right side
    50,524.74x = 1,524,979,606.77
  5. Step 5: Solve for x
    x = 1,524,979,606.77/50,524.74
  6. Step 6: Final answer
    x = 30,182.83

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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.