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Finding the Fourth Proportional to 32,129.69, 44,338.97 and 17,982.54

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Solution

The fourth proportional to 32,129.69, 44,338.97 and 17,982.54 is: 24,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.69 : 44,338.97 = 17,982.54 : x
  2. Step 2: Convert to fraction form
    32,129.69/44,338.97 = 17,982.54/x
  3. Step 3: Cross multiply
    32,129.69x = 44,338.97 × 17,982.54
  4. Step 4: Simplify right side
    32,129.69x = 797,327,301.58
  5. Step 5: Solve for x
    x = 797,327,301.58/32,129.69
  6. Step 6: Final answer
    x = 24,815.90

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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.