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Finding the Fourth Proportional to 37,891.68, 52,249.50 and 25,800

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Solution

The fourth proportional to 37,891.68, 52,249.50 and 25,800 is: 35,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,891.68 : 52,249.50 = 25,800 : x
  2. Step 2: Convert to fraction form
    37,891.68/52,249.50 = 25,800/x
  3. Step 3: Cross multiply
    37,891.68x = 52,249.50 × 25,800
  4. Step 4: Simplify right side
    37,891.68x = 1,348,037,100
  5. Step 5: Solve for x
    x = 1,348,037,100/37,891.68
  6. Step 6: Final answer
    x = 35,576.07

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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.