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Finding the Fourth Proportional to 81,946.94, 113,086.73 and 47,961.90

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Solution

The fourth proportional to 81,946.94, 113,086.73 and 47,961.90 is: 66,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,946.94 : 113,086.73 = 47,961.90 : x
  2. Step 2: Convert to fraction form
    81,946.94/113,086.73 = 47,961.90/x
  3. Step 3: Cross multiply
    81,946.94x = 113,086.73 × 47,961.90
  4. Step 4: Simplify right side
    81,946.94x = 5,423,854,435.59
  5. Step 5: Solve for x
    x = 5,423,854,435.59/81,946.94
  6. Step 6: Final answer
    x = 66,187.39

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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.