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Finding the Fourth Proportional to 37,741.44, 52,092.59 and 21,823.59

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Solution

The fourth proportional to 37,741.44, 52,092.59 and 21,823.59 is: 30,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,741.44 : 52,092.59 = 21,823.59 : x
  2. Step 2: Convert to fraction form
    37,741.44/52,092.59 = 21,823.59/x
  3. Step 3: Cross multiply
    37,741.44x = 52,092.59 × 21,823.59
  4. Step 4: Simplify right side
    37,741.44x = 1,136,847,217.08
  5. Step 5: Solve for x
    x = 1,136,847,217.08/37,741.44
  6. Step 6: Final answer
    x = 30,121.99

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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.