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Finding the Fourth Proportional to 33,923, 46,813.74 and 20,675

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Solution

The fourth proportional to 33,923, 46,813.74 and 20,675 is: 28,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,923 : 46,813.74 = 20,675 : x
  2. Step 2: Convert to fraction form
    33,923/46,813.74 = 20,675/x
  3. Step 3: Cross multiply
    33,923x = 46,813.74 × 20,675
  4. Step 4: Simplify right side
    33,923x = 967,874,074.50
  5. Step 5: Solve for x
    x = 967,874,074.50/33,923
  6. Step 6: Final answer
    x = 28,531.50

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1.5x scale

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.