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Finding the Fourth Proportional to 49,197.78, 73,796.58 and 21,099.69

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Solution

The fourth proportional to 49,197.78, 73,796.58 and 21,099.69 is: 31,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,197.78 : 73,796.58 = 21,099.69 : x
  2. Step 2: Convert to fraction form
    49,197.78/73,796.58 = 21,099.69/x
  3. Step 3: Cross multiply
    49,197.78x = 73,796.58 × 21,099.69
  4. Step 4: Simplify right side
    49,197.78x = 1,557,084,961.06
  5. Step 5: Solve for x
    x = 1,557,084,961.06/49,197.78
  6. Step 6: Final answer
    x = 31,649.50

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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.