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Finding the Fourth Proportional to 49,174.53, 73,761.68 and 21,076.36

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Solution

The fourth proportional to 49,174.53, 73,761.68 and 21,076.36 is: 31,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,174.53 : 73,761.68 = 21,076.36 : x
  2. Step 2: Convert to fraction form
    49,174.53/73,761.68 = 21,076.36/x
  3. Step 3: Cross multiply
    49,174.53x = 73,761.68 × 21,076.36
  4. Step 4: Simplify right side
    49,174.53x = 1,554,627,616.50
  5. Step 5: Solve for x
    x = 1,554,627,616.50/49,174.53
  6. Step 6: Final answer
    x = 31,614.49

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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.