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Finding the Fourth Proportional to 32,674.70, 48,982.41 and 11,883.50

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Solution

The fourth proportional to 32,674.70, 48,982.41 and 11,883.50 is: 17,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.70 : 48,982.41 = 11,883.50 : x
  2. Step 2: Convert to fraction form
    32,674.70/48,982.41 = 11,883.50/x
  3. Step 3: Cross multiply
    32,674.70x = 48,982.41 × 11,883.50
  4. Step 4: Simplify right side
    32,674.70x = 582,082,469.24
  5. Step 5: Solve for x
    x = 582,082,469.24/32,674.70
  6. Step 6: Final answer
    x = 17,814.47

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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.