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Finding the Fourth Proportional to 32,177.46, 44,426.52 and 20,096.31

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Solution

The fourth proportional to 32,177.46, 44,426.52 and 20,096.31 is: 27,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.46 : 44,426.52 = 20,096.31 : x
  2. Step 2: Convert to fraction form
    32,177.46/44,426.52 = 20,096.31/x
  3. Step 3: Cross multiply
    32,177.46x = 44,426.52 × 20,096.31
  4. Step 4: Simplify right side
    32,177.46x = 892,809,118.14
  5. Step 5: Solve for x
    x = 892,809,118.14/32,177.46
  6. Step 6: Final answer
    x = 27,746.41

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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.