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Finding the Fourth Proportional to 109,651.65, 164,425.62 and 50,469.81

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Solution

The fourth proportional to 109,651.65, 164,425.62 and 50,469.81 is: 75,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,651.65 : 164,425.62 = 50,469.81 : x
  2. Step 2: Convert to fraction form
    109,651.65/164,425.62 = 50,469.81/x
  3. Step 3: Cross multiply
    109,651.65x = 164,425.62 × 50,469.81
  4. Step 4: Simplify right side
    109,651.65x = 8,298,529,800.53
  5. Step 5: Solve for x
    x = 8,298,529,800.53/109,651.65
  6. Step 6: Final answer
    x = 75,680.85

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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.