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Finding the Fourth Proportional to 33,444, 50,189.04 and 11,556

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Solution

The fourth proportional to 33,444, 50,189.04 and 11,556 is: 17,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,444 : 50,189.04 = 11,556 : x
  2. Step 2: Convert to fraction form
    33,444/50,189.04 = 11,556/x
  3. Step 3: Cross multiply
    33,444x = 50,189.04 × 11,556
  4. Step 4: Simplify right side
    33,444x = 579,984,546.24
  5. Step 5: Solve for x
    x = 579,984,546.24/33,444
  6. Step 6: Final answer
    x = 17,341.96

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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.