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Finding the Fourth Proportional to 109,409.55, 164,048.71 and 50,171.01

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Solution

The fourth proportional to 109,409.55, 164,048.71 and 50,171.01 is: 75,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.55 : 164,048.71 = 50,171.01 : x
  2. Step 2: Convert to fraction form
    109,409.55/164,048.71 = 50,171.01/x
  3. Step 3: Cross multiply
    109,409.55x = 164,048.71 × 50,171.01
  4. Step 4: Simplify right side
    109,409.55x = 8,230,489,469.90
  5. Step 5: Solve for x
    x = 8,230,489,469.90/109,409.55
  6. Step 6: Final answer
    x = 75,226.43

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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.