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Finding the Fourth Proportional to 31,648.58, 43,657.68 and 20,305.41

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Solution

The fourth proportional to 31,648.58, 43,657.68 and 20,305.41 is: 28,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.58 : 43,657.68 = 20,305.41 : x
  2. Step 2: Convert to fraction form
    31,648.58/43,657.68 = 20,305.41/x
  3. Step 3: Cross multiply
    31,648.58x = 43,657.68 × 20,305.41
  4. Step 4: Simplify right side
    31,648.58x = 886,487,092.05
  5. Step 5: Solve for x
    x = 886,487,092.05/31,648.58
  6. Step 6: Final answer
    x = 28,010.33

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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.