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Finding the Fourth Proportional to 32,659.20, 48,990.96 and 11,880

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Solution

The fourth proportional to 32,659.20, 48,990.96 and 11,880 is: 17,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,659.20 : 48,990.96 = 11,880 : x
  2. Step 2: Convert to fraction form
    32,659.20/48,990.96 = 11,880/x
  3. Step 3: Cross multiply
    32,659.20x = 48,990.96 × 11,880
  4. Step 4: Simplify right side
    32,659.20x = 582,012,604.80
  5. Step 5: Solve for x
    x = 582,012,604.80/32,659.20
  6. Step 6: Final answer
    x = 17,820.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.