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Finding the Fourth Proportional to 32,481.08, 48,723.44 and 9,109.34

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Solution

The fourth proportional to 32,481.08, 48,723.44 and 9,109.34 is: 13,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.08 : 48,723.44 = 9,109.34 : x
  2. Step 2: Convert to fraction form
    32,481.08/48,723.44 = 9,109.34/x
  3. Step 3: Cross multiply
    32,481.08x = 48,723.44 × 9,109.34
  4. Step 4: Simplify right side
    32,481.08x = 443,838,380.93
  5. Step 5: Solve for x
    x = 443,838,380.93/32,481.08
  6. Step 6: Final answer
    x = 13,664.52

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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.