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Finding the Fourth Proportional to 31,649.58, 43,659.06 and 20,306.41

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Solution

The fourth proportional to 31,649.58, 43,659.06 and 20,306.41 is: 28,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.58 : 43,659.06 = 20,306.41 : x
  2. Step 2: Convert to fraction form
    31,649.58/43,659.06 = 20,306.41/x
  3. Step 3: Cross multiply
    31,649.58x = 43,659.06 × 20,306.41
  4. Step 4: Simplify right side
    31,649.58x = 886,558,772.57
  5. Step 5: Solve for x
    x = 886,558,772.57/31,649.58
  6. Step 6: Final answer
    x = 28,011.71

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