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Finding the Fourth Proportional to 49,369.20, 74,020.98 and 27,193

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Solution

The fourth proportional to 49,369.20, 74,020.98 and 27,193 is: 40,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,369.20 : 74,020.98 = 27,193 : x
  2. Step 2: Convert to fraction form
    49,369.20/74,020.98 = 27,193/x
  3. Step 3: Cross multiply
    49,369.20x = 74,020.98 × 27,193
  4. Step 4: Simplify right side
    49,369.20x = 2,012,852,509.14
  5. Step 5: Solve for x
    x = 2,012,852,509.14/49,369.20
  6. Step 6: Final answer
    x = 40,771.42

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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.