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Finding the Fourth Proportional to 50,162.52, 75,193.23 and 31,455.78

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Solution

The fourth proportional to 50,162.52, 75,193.23 and 31,455.78 is: 47,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,162.52 : 75,193.23 = 31,455.78 : x
  2. Step 2: Convert to fraction form
    50,162.52/75,193.23 = 31,455.78/x
  3. Step 3: Cross multiply
    50,162.52x = 75,193.23 × 31,455.78
  4. Step 4: Simplify right side
    50,162.52x = 2,365,261,700.37
  5. Step 5: Solve for x
    x = 2,365,261,700.37/50,162.52
  6. Step 6: Final answer
    x = 47,151.97

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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.