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Finding the Fourth Proportional to 120,542.60, 180,813.90 and 32,990.60

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Solution

The fourth proportional to 120,542.60, 180,813.90 and 32,990.60 is: 49,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,542.60 : 180,813.90 = 32,990.60 : x
  2. Step 2: Convert to fraction form
    120,542.60/180,813.90 = 32,990.60/x
  3. Step 3: Cross multiply
    120,542.60x = 180,813.90 × 32,990.60
  4. Step 4: Simplify right side
    120,542.60x = 5,965,159,049.34
  5. Step 5: Solve for x
    x = 5,965,159,049.34/120,542.60
  6. Step 6: Final answer
    x = 49,485.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.