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Finding the Fourth Proportional to 33,667, 46,461.42 and 18,763.96

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Solution

The fourth proportional to 33,667, 46,461.42 and 18,763.96 is: 25,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,667 : 46,461.42 = 18,763.96 : x
  2. Step 2: Convert to fraction form
    33,667/46,461.42 = 18,763.96/x
  3. Step 3: Cross multiply
    33,667x = 46,461.42 × 18,763.96
  4. Step 4: Simplify right side
    33,667x = 871,800,226.42
  5. Step 5: Solve for x
    x = 871,800,226.42/33,667
  6. Step 6: Final answer
    x = 25,894.80

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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.