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Finding the Fourth Proportional to 37,682.74, 52,002.53 and 21,766.83

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Solution

The fourth proportional to 37,682.74, 52,002.53 and 21,766.83 is: 30,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682.74 : 52,002.53 = 21,766.83 : x
  2. Step 2: Convert to fraction form
    37,682.74/52,002.53 = 21,766.83/x
  3. Step 3: Cross multiply
    37,682.74x = 52,002.53 × 21,766.83
  4. Step 4: Simplify right side
    37,682.74x = 1,131,930,230.08
  5. Step 5: Solve for x
    x = 1,131,930,230.08/37,682.74
  6. Step 6: Final answer
    x = 30,038.43

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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.