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Finding the Fourth Proportional to 118,642.92, 177,964.50 and 29,896.44

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Solution

The fourth proportional to 118,642.92, 177,964.50 and 29,896.44 is: 44,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,642.92 : 177,964.50 = 29,896.44 : x
  2. Step 2: Convert to fraction form
    118,642.92/177,964.50 = 29,896.44/x
  3. Step 3: Cross multiply
    118,642.92x = 177,964.50 × 29,896.44
  4. Step 4: Simplify right side
    118,642.92x = 5,320,504,996.38
  5. Step 5: Solve for x
    x = 5,320,504,996.38/118,642.92
  6. Step 6: Final answer
    x = 44,844.69

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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.