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Finding the Fourth Proportional to 50,431.76, 75,694.32 and 25,489.44

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Solution

The fourth proportional to 50,431.76, 75,694.32 and 25,489.44 is: 38,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,431.76 : 75,694.32 = 25,489.44 : x
  2. Step 2: Convert to fraction form
    50,431.76/75,694.32 = 25,489.44/x
  3. Step 3: Cross multiply
    50,431.76x = 75,694.32 × 25,489.44
  4. Step 4: Simplify right side
    50,431.76x = 1,929,405,827.98
  5. Step 5: Solve for x
    x = 1,929,405,827.98/50,431.76
  6. Step 6: Final answer
    x = 38,257.75

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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.