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Finding the Fourth Proportional to 49,997, 74,996.32 and 14,458.80

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Solution

The fourth proportional to 49,997, 74,996.32 and 14,458.80 is: 21,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,997 : 74,996.32 = 14,458.80 : x
  2. Step 2: Convert to fraction form
    49,997/74,996.32 = 14,458.80/x
  3. Step 3: Cross multiply
    49,997x = 74,996.32 × 14,458.80
  4. Step 4: Simplify right side
    49,997x = 1,084,356,791.62
  5. Step 5: Solve for x
    x = 1,084,356,791.62/49,997
  6. Step 6: Final answer
    x = 21,688.44

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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.