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Finding the Fourth Proportional to 49,179.24, 73,786.14 and 21,098.16

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Solution

The fourth proportional to 49,179.24, 73,786.14 and 21,098.16 is: 31,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,179.24 : 73,786.14 = 21,098.16 : x
  2. Step 2: Convert to fraction form
    49,179.24/73,786.14 = 21,098.16/x
  3. Step 3: Cross multiply
    49,179.24x = 73,786.14 × 21,098.16
  4. Step 4: Simplify right side
    49,179.24x = 1,556,751,787.50
  5. Step 5: Solve for x
    x = 1,556,751,787.50/49,179.24
  6. Step 6: Final answer
    x = 31,654.65

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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.