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Finding the Fourth Proportional to 37,136.80, 51,249 and 21,221.83

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Solution

The fourth proportional to 37,136.80, 51,249 and 21,221.83 is: 29,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136.80 : 51,249 = 21,221.83 : x
  2. Step 2: Convert to fraction form
    37,136.80/51,249 = 21,221.83/x
  3. Step 3: Cross multiply
    37,136.80x = 51,249 × 21,221.83
  4. Step 4: Simplify right side
    37,136.80x = 1,087,597,565.67
  5. Step 5: Solve for x
    x = 1,087,597,565.67/37,136.80
  6. Step 6: Final answer
    x = 29,286.25

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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.