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Finding the Fourth Proportional to 33,309.44, 49,964.16 and 19,448.96

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Solution

The fourth proportional to 33,309.44, 49,964.16 and 19,448.96 is: 29,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309.44 : 49,964.16 = 19,448.96 : x
  2. Step 2: Convert to fraction form
    33,309.44/49,964.16 = 19,448.96/x
  3. Step 3: Cross multiply
    33,309.44x = 49,964.16 × 19,448.96
  4. Step 4: Simplify right side
    33,309.44x = 971,750,949.27
  5. Step 5: Solve for x
    x = 971,750,949.27/33,309.44
  6. Step 6: Final answer
    x = 29,173.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.