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Finding the Fourth Proportional to 33,649, 50,466.96 and 11,462.20

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Solution

The fourth proportional to 33,649, 50,466.96 and 11,462.20 is: 17,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649 : 50,466.96 = 11,462.20 : x
  2. Step 2: Convert to fraction form
    33,649/50,466.96 = 11,462.20/x
  3. Step 3: Cross multiply
    33,649x = 50,466.96 × 11,462.20
  4. Step 4: Simplify right side
    33,649x = 578,462,388.91
  5. Step 5: Solve for x
    x = 578,462,388.91/33,649
  6. Step 6: Final answer
    x = 17,191.07

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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.