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Finding the Fourth Proportional to 49,195.74, 73,793.64 and 21,097.66

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Solution

The fourth proportional to 49,195.74, 73,793.64 and 21,097.66 is: 31,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,195.74 : 73,793.64 = 21,097.66 : x
  2. Step 2: Convert to fraction form
    49,195.74/73,793.64 = 21,097.66/x
  3. Step 3: Cross multiply
    49,195.74x = 73,793.64 × 21,097.66
  4. Step 4: Simplify right side
    49,195.74x = 1,556,873,126.88
  5. Step 5: Solve for x
    x = 1,556,873,126.88/49,195.74
  6. Step 6: Final answer
    x = 31,646.50

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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.