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Finding the Fourth Proportional to 33,947.44, 46,847.78 and 20,527.67

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Solution

The fourth proportional to 33,947.44, 46,847.78 and 20,527.67 is: 28,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,947.44 : 46,847.78 = 20,527.67 : x
  2. Step 2: Convert to fraction form
    33,947.44/46,847.78 = 20,527.67/x
  3. Step 3: Cross multiply
    33,947.44x = 46,847.78 × 20,527.67
  4. Step 4: Simplify right side
    33,947.44x = 961,675,768.07
  5. Step 5: Solve for x
    x = 961,675,768.07/33,947.44
  6. Step 6: Final answer
    x = 28,328.37

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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.