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Finding the Fourth Proportional to 32,694.38, 49,048.86 and 11,917.88

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Solution

The fourth proportional to 32,694.38, 49,048.86 and 11,917.88 is: 17,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,694.38 : 49,048.86 = 11,917.88 : x
  2. Step 2: Convert to fraction form
    32,694.38/49,048.86 = 11,917.88/x
  3. Step 3: Cross multiply
    32,694.38x = 49,048.86 × 11,917.88
  4. Step 4: Simplify right side
    32,694.38x = 584,558,427.62
  5. Step 5: Solve for x
    x = 584,558,427.62/32,694.38
  6. Step 6: Final answer
    x = 17,879.48

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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.