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Finding the Fourth Proportional to 33,113.80, 49,670.70 and 13,382.20

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Solution

The fourth proportional to 33,113.80, 49,670.70 and 13,382.20 is: 20,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,113.80 : 49,670.70 = 13,382.20 : x
  2. Step 2: Convert to fraction form
    33,113.80/49,670.70 = 13,382.20/x
  3. Step 3: Cross multiply
    33,113.80x = 49,670.70 × 13,382.20
  4. Step 4: Simplify right side
    33,113.80x = 664,703,241.54
  5. Step 5: Solve for x
    x = 664,703,241.54/33,113.80
  6. Step 6: Final answer
    x = 20,073.30

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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.