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Finding the Fourth Proportional to 33,424, 50,156.82 and 30,309.66

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Solution

The fourth proportional to 33,424, 50,156.82 and 30,309.66 is: 45,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,424 : 50,156.82 = 30,309.66 : x
  2. Step 2: Convert to fraction form
    33,424/50,156.82 = 30,309.66/x
  3. Step 3: Cross multiply
    33,424x = 50,156.82 × 30,309.66
  4. Step 4: Simplify right side
    33,424x = 1,520,236,160.88
  5. Step 5: Solve for x
    x = 1,520,236,160.88/33,424
  6. Step 6: Final answer
    x = 45,483.37

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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.