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Finding the Fourth Proportional to 33,586, 46,348.95 and 18,682

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Solution

The fourth proportional to 33,586, 46,348.95 and 18,682 is: 25,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,586 : 46,348.95 = 18,682 : x
  2. Step 2: Convert to fraction form
    33,586/46,348.95 = 18,682/x
  3. Step 3: Cross multiply
    33,586x = 46,348.95 × 18,682
  4. Step 4: Simplify right side
    33,586x = 865,891,083.90
  5. Step 5: Solve for x
    x = 865,891,083.90/33,586
  6. Step 6: Final answer
    x = 25,781.31

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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.