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Finding the Fourth Proportional to 81,202.29, 121,819.86 and 33,820.95

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Solution

The fourth proportional to 81,202.29, 121,819.86 and 33,820.95 is: 50,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,202.29 : 121,819.86 = 33,820.95 : x
  2. Step 2: Convert to fraction form
    81,202.29/121,819.86 = 33,820.95/x
  3. Step 3: Cross multiply
    81,202.29x = 121,819.86 × 33,820.95
  4. Step 4: Simplify right side
    81,202.29x = 4,120,063,394.07
  5. Step 5: Solve for x
    x = 4,120,063,394.07/81,202.29
  6. Step 6: Final answer
    x = 50,738.27

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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.