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Finding the Fourth Proportional to 37,820.13, 52,198.11 and 21,914.25

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Solution

The fourth proportional to 37,820.13, 52,198.11 and 21,914.25 is: 30,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,820.13 : 52,198.11 = 21,914.25 : x
  2. Step 2: Convert to fraction form
    37,820.13/52,198.11 = 21,914.25/x
  3. Step 3: Cross multiply
    37,820.13x = 52,198.11 × 21,914.25
  4. Step 4: Simplify right side
    37,820.13x = 1,143,882,432.07
  5. Step 5: Solve for x
    x = 1,143,882,432.07/37,820.13
  6. Step 6: Final answer
    x = 30,245.33

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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.