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Finding the Fourth Proportional to 100,510, 150,834.12 and 34,846

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Solution

The fourth proportional to 100,510, 150,834.12 and 34,846 is: 52,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,510 : 150,834.12 = 34,846 : x
  2. Step 2: Convert to fraction form
    100,510/150,834.12 = 34,846/x
  3. Step 3: Cross multiply
    100,510x = 150,834.12 × 34,846
  4. Step 4: Simplify right side
    100,510x = 5,255,965,745.52
  5. Step 5: Solve for x
    x = 5,255,965,745.52/100,510
  6. Step 6: Final answer
    x = 52,292.96

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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.