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Finding the Fourth Proportional to 32,821.44, 49,231.80 and 22,265.31

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Solution

The fourth proportional to 32,821.44, 49,231.80 and 22,265.31 is: 33,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821.44 : 49,231.80 = 22,265.31 : x
  2. Step 2: Convert to fraction form
    32,821.44/49,231.80 = 22,265.31/x
  3. Step 3: Cross multiply
    32,821.44x = 49,231.80 × 22,265.31
  4. Step 4: Simplify right side
    32,821.44x = 1,096,161,473.48
  5. Step 5: Solve for x
    x = 1,096,161,473.48/32,821.44
  6. Step 6: Final answer
    x = 33,397.73

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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.