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Finding the Fourth Proportional to 52,996.72, 73,136.82 and 29,124

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Solution

The fourth proportional to 52,996.72, 73,136.82 and 29,124 is: 40,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,996.72 : 73,136.82 = 29,124 : x
  2. Step 2: Convert to fraction form
    52,996.72/73,136.82 = 29,124/x
  3. Step 3: Cross multiply
    52,996.72x = 73,136.82 × 29,124
  4. Step 4: Simplify right side
    52,996.72x = 2,130,036,745.68
  5. Step 5: Solve for x
    x = 2,130,036,745.68/52,996.72
  6. Step 6: Final answer
    x = 40,191.86

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