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Finding the Fourth Proportional to 33,193.64, 49,765.68 and 14,470.12

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Solution

The fourth proportional to 33,193.64, 49,765.68 and 14,470.12 is: 21,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,193.64 : 49,765.68 = 14,470.12 : x
  2. Step 2: Convert to fraction form
    33,193.64/49,765.68 = 14,470.12/x
  3. Step 3: Cross multiply
    33,193.64x = 49,765.68 × 14,470.12
  4. Step 4: Simplify right side
    33,193.64x = 720,115,361.48
  5. Step 5: Solve for x
    x = 720,115,361.48/33,193.64
  6. Step 6: Final answer
    x = 21,694.38

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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.