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Finding the Fourth Proportional to 33,454, 50,200.44 and 14,986

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Solution

The fourth proportional to 33,454, 50,200.44 and 14,986 is: 22,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454 : 50,200.44 = 14,986 : x
  2. Step 2: Convert to fraction form
    33,454/50,200.44 = 14,986/x
  3. Step 3: Cross multiply
    33,454x = 50,200.44 × 14,986
  4. Step 4: Simplify right side
    33,454x = 752,303,793.84
  5. Step 5: Solve for x
    x = 752,303,793.84/33,454
  6. Step 6: Final answer
    x = 22,487.71

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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.