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Finding the Fourth Proportional to 33,656, 50,505.60 and 15,188

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Solution

The fourth proportional to 33,656, 50,505.60 and 15,188 is: 22,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,656 : 50,505.60 = 15,188 : x
  2. Step 2: Convert to fraction form
    33,656/50,505.60 = 15,188/x
  3. Step 3: Cross multiply
    33,656x = 50,505.60 × 15,188
  4. Step 4: Simplify right side
    33,656x = 767,079,052.80
  5. Step 5: Solve for x
    x = 767,079,052.80/33,656
  6. Step 6: Final answer
    x = 22,791.75

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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.