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Finding the Fourth Proportional to 37,198.56, 51,315 and 23,755.68

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Solution

The fourth proportional to 37,198.56, 51,315 and 23,755.68 is: 32,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198.56 : 51,315 = 23,755.68 : x
  2. Step 2: Convert to fraction form
    37,198.56/51,315 = 23,755.68/x
  3. Step 3: Cross multiply
    37,198.56x = 51,315 × 23,755.68
  4. Step 4: Simplify right side
    37,198.56x = 1,219,022,719.20
  5. Step 5: Solve for x
    x = 1,219,022,719.20/37,198.56
  6. Step 6: Final answer
    x = 32,770.70

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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.