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Finding the Fourth Proportional to 50,694.66, 76,052.12 and 15,633

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Solution

The fourth proportional to 50,694.66, 76,052.12 and 15,633 is: 23,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,694.66 : 76,052.12 = 15,633 : x
  2. Step 2: Convert to fraction form
    50,694.66/76,052.12 = 15,633/x
  3. Step 3: Cross multiply
    50,694.66x = 76,052.12 × 15,633
  4. Step 4: Simplify right side
    50,694.66x = 1,188,922,713.80
  5. Step 5: Solve for x
    x = 1,188,922,713.80/50,694.66
  6. Step 6: Final answer
    x = 23,452.62

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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.