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Finding the Fourth Proportional to 47,797.96, 71,643.18 and 23,191.24

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Solution

The fourth proportional to 47,797.96, 71,643.18 and 23,191.24 is: 34,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.96 : 71,643.18 = 23,191.24 : x
  2. Step 2: Convert to fraction form
    47,797.96/71,643.18 = 23,191.24/x
  3. Step 3: Cross multiply
    47,797.96x = 71,643.18 × 23,191.24
  4. Step 4: Simplify right side
    47,797.96x = 1,661,494,181.74
  5. Step 5: Solve for x
    x = 1,661,494,181.74/47,797.96
  6. Step 6: Final answer
    x = 34,760.78

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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.