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Finding the Fourth Proportional to 109,600.70, 164,401.05 and 50,551.70

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Solution

The fourth proportional to 109,600.70, 164,401.05 and 50,551.70 is: 75,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,600.70 : 164,401.05 = 50,551.70 : x
  2. Step 2: Convert to fraction form
    109,600.70/164,401.05 = 50,551.70/x
  3. Step 3: Cross multiply
    109,600.70x = 164,401.05 × 50,551.70
  4. Step 4: Simplify right side
    109,600.70x = 8,310,752,559.29
  5. Step 5: Solve for x
    x = 8,310,752,559.29/109,600.70
  6. Step 6: Final answer
    x = 75,827.55

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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.