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Finding the Fourth Proportional to 32,674.20, 48,981.66 and 11,883

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Solution

The fourth proportional to 32,674.20, 48,981.66 and 11,883 is: 17,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.20 : 48,981.66 = 11,883 : x
  2. Step 2: Convert to fraction form
    32,674.20/48,981.66 = 11,883/x
  3. Step 3: Cross multiply
    32,674.20x = 48,981.66 × 11,883
  4. Step 4: Simplify right side
    32,674.20x = 582,049,065.78
  5. Step 5: Solve for x
    x = 582,049,065.78/32,674.20
  6. Step 6: Final answer
    x = 17,813.72

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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.