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Finding the Fourth Proportional to 33,189.80, 49,764.26 and 16,301.32

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Solution

The fourth proportional to 33,189.80, 49,764.26 and 16,301.32 is: 24,441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.80 : 49,764.26 = 16,301.32 : x
  2. Step 2: Convert to fraction form
    33,189.80/49,764.26 = 16,301.32/x
  3. Step 3: Cross multiply
    33,189.80x = 49,764.26 × 16,301.32
  4. Step 4: Simplify right side
    33,189.80x = 811,223,126.82
  5. Step 5: Solve for x
    x = 811,223,126.82/33,189.80
  6. Step 6: Final answer
    x = 24,441.94

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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.