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Finding the Fourth Proportional to 32,218.20, 44,497.14 and 22,177.44

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Solution

The fourth proportional to 32,218.20, 44,497.14 and 22,177.44 is: 30,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,218.20 : 44,497.14 = 22,177.44 : x
  2. Step 2: Convert to fraction form
    32,218.20/44,497.14 = 22,177.44/x
  3. Step 3: Cross multiply
    32,218.20x = 44,497.14 × 22,177.44
  4. Step 4: Simplify right side
    32,218.20x = 986,832,652.52
  5. Step 5: Solve for x
    x = 986,832,652.52/32,218.20
  6. Step 6: Final answer
    x = 30,629.66

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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.