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Finding the Fourth Proportional to 33,521, 50,209.74 and 17,675.96

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Solution

The fourth proportional to 33,521, 50,209.74 and 17,675.96 is: 26,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,521 : 50,209.74 = 17,675.96 : x
  2. Step 2: Convert to fraction form
    33,521/50,209.74 = 17,675.96/x
  3. Step 3: Cross multiply
    33,521x = 50,209.74 × 17,675.96
  4. Step 4: Simplify right side
    33,521x = 887,505,355.85
  5. Step 5: Solve for x
    x = 887,505,355.85/33,521
  6. Step 6: Final answer
    x = 26,476.10

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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.