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Finding the Fourth Proportional to 32,481.66, 48,724.25 and 9,109.92

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Solution

The fourth proportional to 32,481.66, 48,724.25 and 9,109.92 is: 13,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.66 : 48,724.25 = 9,109.92 : x
  2. Step 2: Convert to fraction form
    32,481.66/48,724.25 = 9,109.92/x
  3. Step 3: Cross multiply
    32,481.66x = 48,724.25 × 9,109.92
  4. Step 4: Simplify right side
    32,481.66x = 443,873,974.01
  5. Step 5: Solve for x
    x = 443,873,974.01/32,481.66
  6. Step 6: Final answer
    x = 13,665.37

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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.