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Finding the Fourth Proportional to 32,764.42, 45,169.09 and 27,708.31

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Solution

The fourth proportional to 32,764.42, 45,169.09 and 27,708.31 is: 38,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764.42 : 45,169.09 = 27,708.31 : x
  2. Step 2: Convert to fraction form
    32,764.42/45,169.09 = 27,708.31/x
  3. Step 3: Cross multiply
    32,764.42x = 45,169.09 × 27,708.31
  4. Step 4: Simplify right side
    32,764.42x = 1,251,559,148.14
  5. Step 5: Solve for x
    x = 1,251,559,148.14/32,764.42
  6. Step 6: Final answer
    x = 38,198.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.