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Finding the Fourth Proportional to 50,198.96, 75,312.22 and 40,815.66

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Solution

The fourth proportional to 50,198.96, 75,312.22 and 40,815.66 is: 61,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,198.96 : 75,312.22 = 40,815.66 : x
  2. Step 2: Convert to fraction form
    50,198.96/75,312.22 = 40,815.66/x
  3. Step 3: Cross multiply
    50,198.96x = 75,312.22 × 40,815.66
  4. Step 4: Simplify right side
    50,198.96x = 3,073,917,965.37
  5. Step 5: Solve for x
    x = 3,073,917,965.37/50,198.96
  6. Step 6: Final answer
    x = 61,234.69

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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.