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Finding the Fourth Proportional to 37,494, 51,741.78 and 20,727

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Solution

The fourth proportional to 37,494, 51,741.78 and 20,727 is: 28,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,494 : 51,741.78 = 20,727 : x
  2. Step 2: Convert to fraction form
    37,494/51,741.78 = 20,727/x
  3. Step 3: Cross multiply
    37,494x = 51,741.78 × 20,727
  4. Step 4: Simplify right side
    37,494x = 1,072,451,874.06
  5. Step 5: Solve for x
    x = 1,072,451,874.06/37,494
  6. Step 6: Final answer
    x = 28,603.29

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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.