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Finding the Fourth Proportional to 32,672.82, 48,976.14 and 22,143.92

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Solution

The fourth proportional to 32,672.82, 48,976.14 and 22,143.92 is: 33,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,672.82 : 48,976.14 = 22,143.92 : x
  2. Step 2: Convert to fraction form
    32,672.82/48,976.14 = 22,143.92/x
  3. Step 3: Cross multiply
    32,672.82x = 48,976.14 × 22,143.92
  4. Step 4: Simplify right side
    32,672.82x = 1,084,523,481.19
  5. Step 5: Solve for x
    x = 1,084,523,481.19/32,672.82
  6. Step 6: Final answer
    x = 33,193.45

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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.