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Finding the Fourth Proportional to 109,719.30, 164,469.60 and 50,451.60

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Solution

The fourth proportional to 109,719.30, 164,469.60 and 50,451.60 is: 75,627.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,719.30 : 164,469.60 = 50,451.60 : x
  2. Step 2: Convert to fraction form
    109,719.30/164,469.60 = 50,451.60/x
  3. Step 3: Cross multiply
    109,719.30x = 164,469.60 × 50,451.60
  4. Step 4: Simplify right side
    109,719.30x = 8,297,754,471.36
  5. Step 5: Solve for x
    x = 8,297,754,471.36/109,719.30
  6. Step 6: Final answer
    x = 75,627.12

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Why These Related Problems?

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