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Finding the Fourth Proportional to 81,283.83, 121,947.66 and 33,883.17

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Solution

The fourth proportional to 81,283.83, 121,947.66 and 33,883.17 is: 50,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,283.83 : 121,947.66 = 33,883.17 : x
  2. Step 2: Convert to fraction form
    81,283.83/121,947.66 = 33,883.17/x
  3. Step 3: Cross multiply
    81,283.83x = 121,947.66 × 33,883.17
  4. Step 4: Simplify right side
    81,283.83x = 4,131,973,294.88
  5. Step 5: Solve for x
    x = 4,131,973,294.88/81,283.83
  6. Step 6: Final answer
    x = 50,833.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.