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Finding the Fourth Proportional to 33,400, 50,056.26 and 18,615.88

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Solution

The fourth proportional to 33,400, 50,056.26 and 18,615.88 is: 27,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400 : 50,056.26 = 18,615.88 : x
  2. Step 2: Convert to fraction form
    33,400/50,056.26 = 18,615.88/x
  3. Step 3: Cross multiply
    33,400x = 50,056.26 × 18,615.88
  4. Step 4: Simplify right side
    33,400x = 931,841,329.41
  5. Step 5: Solve for x
    x = 931,841,329.41/33,400
  6. Step 6: Final answer
    x = 27,899.44

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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.