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Finding the Fourth Proportional to 33,872, 46,743.27 and 18,764.69

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Solution

The fourth proportional to 33,872, 46,743.27 and 18,764.69 is: 25,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,872 : 46,743.27 = 18,764.69 : x
  2. Step 2: Convert to fraction form
    33,872/46,743.27 = 18,764.69/x
  3. Step 3: Cross multiply
    33,872x = 46,743.27 × 18,764.69
  4. Step 4: Simplify right side
    33,872x = 877,122,971.14
  5. Step 5: Solve for x
    x = 877,122,971.14/33,872
  6. Step 6: Final answer
    x = 25,895.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.