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Finding the Fourth Proportional to 32,201.16, 44,433.24 and 18,589.68

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Solution

The fourth proportional to 32,201.16, 44,433.24 and 18,589.68 is: 25,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.16 : 44,433.24 = 18,589.68 : x
  2. Step 2: Convert to fraction form
    32,201.16/44,433.24 = 18,589.68/x
  3. Step 3: Cross multiply
    32,201.16x = 44,433.24 × 18,589.68
  4. Step 4: Simplify right side
    32,201.16x = 825,999,712.96
  5. Step 5: Solve for x
    x = 825,999,712.96/32,201.16
  6. Step 6: Final answer
    x = 25,651.24

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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.