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Finding the Fourth Proportional to 32,481.80, 48,833.88 and 30,046.96

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Solution

The fourth proportional to 32,481.80, 48,833.88 and 30,046.96 is: 45,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.80 : 48,833.88 = 30,046.96 : x
  2. Step 2: Convert to fraction form
    32,481.80/48,833.88 = 30,046.96/x
  3. Step 3: Cross multiply
    32,481.80x = 48,833.88 × 30,046.96
  4. Step 4: Simplify right side
    32,481.80x = 1,467,309,639.00
  5. Step 5: Solve for x
    x = 1,467,309,639.00/32,481.80
  6. Step 6: Final answer
    x = 45,173.29

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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.