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Finding the Fourth Proportional to 82,340.42, 113,616.87 and 47,892.78

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Solution

The fourth proportional to 82,340.42, 113,616.87 and 47,892.78 is: 66,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,340.42 : 113,616.87 = 47,892.78 : x
  2. Step 2: Convert to fraction form
    82,340.42/113,616.87 = 47,892.78/x
  3. Step 3: Cross multiply
    82,340.42x = 113,616.87 × 47,892.78
  4. Step 4: Simplify right side
    82,340.42x = 5,441,427,759.20
  5. Step 5: Solve for x
    x = 5,441,427,759.20/82,340.42
  6. Step 6: Final answer
    x = 66,084.53

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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.