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Finding the Fourth Proportional to 52,997.78, 73,136.94 and 29,126

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Solution

The fourth proportional to 52,997.78, 73,136.94 and 29,126 is: 40,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,997.78 : 73,136.94 = 29,126 : x
  2. Step 2: Convert to fraction form
    52,997.78/73,136.94 = 29,126/x
  3. Step 3: Cross multiply
    52,997.78x = 73,136.94 × 29,126
  4. Step 4: Simplify right side
    52,997.78x = 2,130,186,514.44
  5. Step 5: Solve for x
    x = 2,130,186,514.44/52,997.78
  6. Step 6: Final answer
    x = 40,193.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.