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Finding the Fourth Proportional to 32,481.28, 48,723.81 and 9,109.54

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Solution

The fourth proportional to 32,481.28, 48,723.81 and 9,109.54 is: 13,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.28 : 48,723.81 = 9,109.54 : x
  2. Step 2: Convert to fraction form
    32,481.28/48,723.81 = 9,109.54/x
  3. Step 3: Cross multiply
    32,481.28x = 48,723.81 × 9,109.54
  4. Step 4: Simplify right side
    32,481.28x = 443,851,496.15
  5. Step 5: Solve for x
    x = 443,851,496.15/32,481.28
  6. Step 6: Final answer
    x = 13,664.84

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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.