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Finding the Fourth Proportional to 57,198.15, 78,906.15 and 38,086.74

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Solution

The fourth proportional to 57,198.15, 78,906.15 and 38,086.74 is: 52,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,198.15 : 78,906.15 = 38,086.74 : x
  2. Step 2: Convert to fraction form
    57,198.15/78,906.15 = 38,086.74/x
  3. Step 3: Cross multiply
    57,198.15x = 78,906.15 × 38,086.74
  4. Step 4: Simplify right side
    57,198.15x = 3,005,278,019.45
  5. Step 5: Solve for x
    x = 3,005,278,019.45/57,198.15
  6. Step 6: Final answer
    x = 52,541.52

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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.