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Finding the Fourth Proportional to 33,120, 49,694.40 and 16,496.64

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Solution

The fourth proportional to 33,120, 49,694.40 and 16,496.64 is: 24,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,120 : 49,694.40 = 16,496.64 : x
  2. Step 2: Convert to fraction form
    33,120/49,694.40 = 16,496.64/x
  3. Step 3: Cross multiply
    33,120x = 49,694.40 × 16,496.64
  4. Step 4: Simplify right side
    33,120x = 819,790,626.82
  5. Step 5: Solve for x
    x = 819,790,626.82/33,120
  6. Step 6: Final answer
    x = 24,752.13

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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.