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Finding the Fourth Proportional to 37,578.26, 51,858 and 20,811.26

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Solution

The fourth proportional to 37,578.26, 51,858 and 20,811.26 is: 28,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,578.26 : 51,858 = 20,811.26 : x
  2. Step 2: Convert to fraction form
    37,578.26/51,858 = 20,811.26/x
  3. Step 3: Cross multiply
    37,578.26x = 51,858 × 20,811.26
  4. Step 4: Simplify right side
    37,578.26x = 1,079,230,321.08
  5. Step 5: Solve for x
    x = 1,079,230,321.08/37,578.26
  6. Step 6: Final answer
    x = 28,719.54

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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.