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Finding the Fourth Proportional to 33,864, 46,735.44 and 18,960

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Solution

The fourth proportional to 33,864, 46,735.44 and 18,960 is: 26,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864 : 46,735.44 = 18,960 : x
  2. Step 2: Convert to fraction form
    33,864/46,735.44 = 18,960/x
  3. Step 3: Cross multiply
    33,864x = 46,735.44 × 18,960
  4. Step 4: Simplify right side
    33,864x = 886,103,942.40
  5. Step 5: Solve for x
    x = 886,103,942.40/33,864
  6. Step 6: Final answer
    x = 26,166.55

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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.