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Finding the Fourth Proportional to 82,194.37, 113,433.39 and 48,190.47

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Solution

The fourth proportional to 82,194.37, 113,433.39 and 48,190.47 is: 66,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,194.37 : 113,433.39 = 48,190.47 : x
  2. Step 2: Convert to fraction form
    82,194.37/113,433.39 = 48,190.47/x
  3. Step 3: Cross multiply
    82,194.37x = 113,433.39 × 48,190.47
  4. Step 4: Simplify right side
    82,194.37x = 5,466,408,377.79
  5. Step 5: Solve for x
    x = 5,466,408,377.79/82,194.37
  6. Step 6: Final answer
    x = 66,505.87

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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.