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Finding the Fourth Proportional to 109,809.78, 164,776.92 and 50,645.46

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Solution

The fourth proportional to 109,809.78, 164,776.92 and 50,645.46 is: 75,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,809.78 : 164,776.92 = 50,645.46 : x
  2. Step 2: Convert to fraction form
    109,809.78/164,776.92 = 50,645.46/x
  3. Step 3: Cross multiply
    109,809.78x = 164,776.92 × 50,645.46
  4. Step 4: Simplify right side
    109,809.78x = 8,345,202,910.78
  5. Step 5: Solve for x
    x = 8,345,202,910.78/109,809.78
  6. Step 6: Final answer
    x = 75,996.90

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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.