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Finding the Fourth Proportional to 32,380.44, 44,689.10 and 18,233.25

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Solution

The fourth proportional to 32,380.44, 44,689.10 and 18,233.25 is: 25,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,380.44 : 44,689.10 = 18,233.25 : x
  2. Step 2: Convert to fraction form
    32,380.44/44,689.10 = 18,233.25/x
  3. Step 3: Cross multiply
    32,380.44x = 44,689.10 × 18,233.25
  4. Step 4: Simplify right side
    32,380.44x = 814,827,441.41
  5. Step 5: Solve for x
    x = 814,827,441.41/32,380.44
  6. Step 6: Final answer
    x = 25,164.19

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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.