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Finding the Fourth Proportional to 32,177.74, 44,369.31 and 20,226.46

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Solution

The fourth proportional to 32,177.74, 44,369.31 and 20,226.46 is: 27,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.74 : 44,369.31 = 20,226.46 : x
  2. Step 2: Convert to fraction form
    32,177.74/44,369.31 = 20,226.46/x
  3. Step 3: Cross multiply
    32,177.74x = 44,369.31 × 20,226.46
  4. Step 4: Simplify right side
    32,177.74x = 897,434,073.94
  5. Step 5: Solve for x
    x = 897,434,073.94/32,177.74
  6. Step 6: Final answer
    x = 27,889.90

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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.