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Finding the Fourth Proportional to 32,214.14, 44,489.32 and 22,168.52

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Solution

The fourth proportional to 32,214.14, 44,489.32 and 22,168.52 is: 30,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.14 : 44,489.32 = 22,168.52 : x
  2. Step 2: Convert to fraction form
    32,214.14/44,489.32 = 22,168.52/x
  3. Step 3: Cross multiply
    32,214.14x = 44,489.32 × 22,168.52
  4. Step 4: Simplify right side
    32,214.14x = 986,262,380.21
  5. Step 5: Solve for x
    x = 986,262,380.21/32,214.14
  6. Step 6: Final answer
    x = 30,615.82

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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.