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Finding the Fourth Proportional to 101,906.10, 152,859.15 and 31,785.30

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Solution

The fourth proportional to 101,906.10, 152,859.15 and 31,785.30 is: 47,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,906.10 : 152,859.15 = 31,785.30 : x
  2. Step 2: Convert to fraction form
    101,906.10/152,859.15 = 31,785.30/x
  3. Step 3: Cross multiply
    101,906.10x = 152,859.15 × 31,785.30
  4. Step 4: Simplify right side
    101,906.10x = 4,858,673,940.50
  5. Step 5: Solve for x
    x = 4,858,673,940.50/101,906.10
  6. Step 6: Final answer
    x = 47,677.95

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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.