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Finding the Fourth Proportional to 32,129.22, 44,338.31 and 17,982.06

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Solution

The fourth proportional to 32,129.22, 44,338.31 and 17,982.06 is: 24,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.22 : 44,338.31 = 17,982.06 : x
  2. Step 2: Convert to fraction form
    32,129.22/44,338.31 = 17,982.06/x
  3. Step 3: Cross multiply
    32,129.22x = 44,338.31 × 17,982.06
  4. Step 4: Simplify right side
    32,129.22x = 797,294,137.25
  5. Step 5: Solve for x
    x = 797,294,137.25/32,129.22
  6. Step 6: Final answer
    x = 24,815.24

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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.