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Finding the Fourth Proportional to 33,782.52, 50,688.80 and 11,611.80

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Solution

The fourth proportional to 33,782.52, 50,688.80 and 11,611.80 is: 17,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782.52 : 50,688.80 = 11,611.80 : x
  2. Step 2: Convert to fraction form
    33,782.52/50,688.80 = 11,611.80/x
  3. Step 3: Cross multiply
    33,782.52x = 50,688.80 × 11,611.80
  4. Step 4: Simplify right side
    33,782.52x = 588,588,207.84
  5. Step 5: Solve for x
    x = 588,588,207.84/33,782.52
  6. Step 6: Final answer
    x = 17,422.86

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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.