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Finding the Fourth Proportional to 33,434.88, 50,157.16 and 17,844

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Solution

The fourth proportional to 33,434.88, 50,157.16 and 17,844 is: 26,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,434.88 : 50,157.16 = 17,844 : x
  2. Step 2: Convert to fraction form
    33,434.88/50,157.16 = 17,844/x
  3. Step 3: Cross multiply
    33,434.88x = 50,157.16 × 17,844
  4. Step 4: Simplify right side
    33,434.88x = 895,004,363.04
  5. Step 5: Solve for x
    x = 895,004,363.04/33,434.88
  6. Step 6: Final answer
    x = 26,768.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.