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Finding the Fourth Proportional to 109,682.80, 164,414.85 and 50,415.10

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Solution

The fourth proportional to 109,682.80, 164,414.85 and 50,415.10 is: 75,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,682.80 : 164,414.85 = 50,415.10 : x
  2. Step 2: Convert to fraction form
    109,682.80/164,414.85 = 50,415.10/x
  3. Step 3: Cross multiply
    109,682.80x = 164,414.85 × 50,415.10
  4. Step 4: Simplify right side
    109,682.80x = 8,288,991,104.24
  5. Step 5: Solve for x
    x = 8,288,991,104.24/109,682.80
  6. Step 6: Final answer
    x = 75,572.39

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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.