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Finding the Fourth Proportional to 81,959.67, 113,107.14 and 47,971.32

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Solution

The fourth proportional to 81,959.67, 113,107.14 and 47,971.32 is: 66,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,959.67 : 113,107.14 = 47,971.32 : x
  2. Step 2: Convert to fraction form
    81,959.67/113,107.14 = 47,971.32/x
  3. Step 3: Cross multiply
    81,959.67x = 113,107.14 × 47,971.32
  4. Step 4: Simplify right side
    81,959.67x = 5,425,898,807.22
  5. Step 5: Solve for x
    x = 5,425,898,807.22/81,959.67
  6. Step 6: Final answer
    x = 66,202.06

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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.