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Finding the Fourth Proportional to 33,640, 46,424.80 and 18,736

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Solution

The fourth proportional to 33,640, 46,424.80 and 18,736 is: 25,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,640 : 46,424.80 = 18,736 : x
  2. Step 2: Convert to fraction form
    33,640/46,424.80 = 18,736/x
  3. Step 3: Cross multiply
    33,640x = 46,424.80 × 18,736
  4. Step 4: Simplify right side
    33,640x = 869,815,052.80
  5. Step 5: Solve for x
    x = 869,815,052.80/33,640
  6. Step 6: Final answer
    x = 25,856.57

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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.