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Finding the Fourth Proportional to 32,660.20, 48,992.46 and 11,881

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Solution

The fourth proportional to 32,660.20, 48,992.46 and 11,881 is: 17,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,660.20 : 48,992.46 = 11,881 : x
  2. Step 2: Convert to fraction form
    32,660.20/48,992.46 = 11,881/x
  3. Step 3: Cross multiply
    32,660.20x = 48,992.46 × 11,881
  4. Step 4: Simplify right side
    32,660.20x = 582,079,417.26
  5. Step 5: Solve for x
    x = 582,079,417.26/32,660.20
  6. Step 6: Final answer
    x = 17,822.29

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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.