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Finding the Fourth Proportional to 62,215.76, 85,856.20 and 33,922

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Solution

The fourth proportional to 62,215.76, 85,856.20 and 33,922 is: 46,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,215.76 : 85,856.20 = 33,922 : x
  2. Step 2: Convert to fraction form
    62,215.76/85,856.20 = 33,922/x
  3. Step 3: Cross multiply
    62,215.76x = 85,856.20 × 33,922
  4. Step 4: Simplify right side
    62,215.76x = 2,912,414,016.40
  5. Step 5: Solve for x
    x = 2,912,414,016.40/62,215.76
  6. Step 6: Final answer
    x = 46,811.52

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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.