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Finding the Fourth Proportional to 33,675, 46,472.94 and 18,771

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Solution

The fourth proportional to 33,675, 46,472.94 and 18,771 is: 25,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675 : 46,472.94 = 18,771 : x
  2. Step 2: Convert to fraction form
    33,675/46,472.94 = 18,771/x
  3. Step 3: Cross multiply
    33,675x = 46,472.94 × 18,771
  4. Step 4: Simplify right side
    33,675x = 872,343,556.74
  5. Step 5: Solve for x
    x = 872,343,556.74/33,675
  6. Step 6: Final answer
    x = 25,904.78

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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.