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Finding the Fourth Proportional to 33,089.85, 45,645.50 and 20,334.17

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Solution

The fourth proportional to 33,089.85, 45,645.50 and 20,334.17 is: 28,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,089.85 : 45,645.50 = 20,334.17 : x
  2. Step 2: Convert to fraction form
    33,089.85/45,645.50 = 20,334.17/x
  3. Step 3: Cross multiply
    33,089.85x = 45,645.50 × 20,334.17
  4. Step 4: Simplify right side
    33,089.85x = 928,163,026.84
  5. Step 5: Solve for x
    x = 928,163,026.84/33,089.85
  6. Step 6: Final answer
    x = 28,049.78

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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.