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Finding the Fourth Proportional to 32,770.57, 49,155.89 and 8,146.57

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Solution

The fourth proportional to 32,770.57, 49,155.89 and 8,146.57 is: 12,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.57 : 49,155.89 = 8,146.57 : x
  2. Step 2: Convert to fraction form
    32,770.57/49,155.89 = 8,146.57/x
  3. Step 3: Cross multiply
    32,770.57x = 49,155.89 × 8,146.57
  4. Step 4: Simplify right side
    32,770.57x = 400,451,898.80
  5. Step 5: Solve for x
    x = 400,451,898.80/32,770.57
  6. Step 6: Final answer
    x = 12,219.86

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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.