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Finding the Fourth Proportional to 33,465.71, 50,164.57 and 20,994.43

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Solution

The fourth proportional to 33,465.71, 50,164.57 and 20,994.43 is: 31,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,465.71 : 50,164.57 = 20,994.43 : x
  2. Step 2: Convert to fraction form
    33,465.71/50,164.57 = 20,994.43/x
  3. Step 3: Cross multiply
    33,465.71x = 50,164.57 × 20,994.43
  4. Step 4: Simplify right side
    33,465.71x = 1,053,176,584.75
  5. Step 5: Solve for x
    x = 1,053,176,584.75/33,465.71
  6. Step 6: Final answer
    x = 31,470.32

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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.