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Finding the Fourth Proportional to 33,638, 46,420.44 and 18,734

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Solution

The fourth proportional to 33,638, 46,420.44 and 18,734 is: 25,852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638 : 46,420.44 = 18,734 : x
  2. Step 2: Convert to fraction form
    33,638/46,420.44 = 18,734/x
  3. Step 3: Cross multiply
    33,638x = 46,420.44 × 18,734
  4. Step 4: Simplify right side
    33,638x = 869,640,522.96
  5. Step 5: Solve for x
    x = 869,640,522.96/33,638
  6. Step 6: Final answer
    x = 25,852.92

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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.