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Finding the Fourth Proportional to 33,473.44, 50,232.03 and 17,902

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Solution

The fourth proportional to 33,473.44, 50,232.03 and 17,902 is: 26,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,473.44 : 50,232.03 = 17,902 : x
  2. Step 2: Convert to fraction form
    33,473.44/50,232.03 = 17,902/x
  3. Step 3: Cross multiply
    33,473.44x = 50,232.03 × 17,902
  4. Step 4: Simplify right side
    33,473.44x = 899,253,801.06
  5. Step 5: Solve for x
    x = 899,253,801.06/33,473.44
  6. Step 6: Final answer
    x = 26,864.70

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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.