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Finding the Fourth Proportional to 50,974.56, 76,456.44 and 31,218.66

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Solution

The fourth proportional to 50,974.56, 76,456.44 and 31,218.66 is: 46,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974.56 : 76,456.44 = 31,218.66 : x
  2. Step 2: Convert to fraction form
    50,974.56/76,456.44 = 31,218.66/x
  3. Step 3: Cross multiply
    50,974.56x = 76,456.44 × 31,218.66
  4. Step 4: Simplify right side
    50,974.56x = 2,386,867,605.17
  5. Step 5: Solve for x
    x = 2,386,867,605.17/50,974.56
  6. Step 6: Final answer
    x = 46,824.68

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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.