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Finding the Fourth Proportional to 37,884.75, 56,745.72 and 30,736.91

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Solution

The fourth proportional to 37,884.75, 56,745.72 and 30,736.91 is: 46,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884.75 : 56,745.72 = 30,736.91 : x
  2. Step 2: Convert to fraction form
    37,884.75/56,745.72 = 30,736.91/x
  3. Step 3: Cross multiply
    37,884.75x = 56,745.72 × 30,736.91
  4. Step 4: Simplify right side
    37,884.75x = 1,744,188,023.50
  5. Step 5: Solve for x
    x = 1,744,188,023.50/37,884.75
  6. Step 6: Final answer
    x = 46,039.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.