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Finding the Fourth Proportional to 38,910.90, 53,694.84 and 22,996.83

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Solution

The fourth proportional to 38,910.90, 53,694.84 and 22,996.83 is: 31,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,910.90 : 53,694.84 = 22,996.83 : x
  2. Step 2: Convert to fraction form
    38,910.90/53,694.84 = 22,996.83/x
  3. Step 3: Cross multiply
    38,910.90x = 53,694.84 × 22,996.83
  4. Step 4: Simplify right side
    38,910.90x = 1,234,811,107.36
  5. Step 5: Solve for x
    x = 1,234,811,107.36/38,910.90
  6. Step 6: Final answer
    x = 31,734.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.