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Finding the Fourth Proportional to 37,722.68, 52,057.09 and 20,494.90

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Solution

The fourth proportional to 37,722.68, 52,057.09 and 20,494.90 is: 28,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,722.68 : 52,057.09 = 20,494.90 : x
  2. Step 2: Convert to fraction form
    37,722.68/52,057.09 = 20,494.90/x
  3. Step 3: Cross multiply
    37,722.68x = 52,057.09 × 20,494.90
  4. Step 4: Simplify right side
    37,722.68x = 1,066,904,853.84
  5. Step 5: Solve for x
    x = 1,066,904,853.84/37,722.68
  6. Step 6: Final answer
    x = 28,282.85

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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.