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Finding the Fourth Proportional to 33,947.75, 46,847.90 and 19,043.75

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Solution

The fourth proportional to 33,947.75, 46,847.90 and 19,043.75 is: 26,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,947.75 : 46,847.90 = 19,043.75 : x
  2. Step 2: Convert to fraction form
    33,947.75/46,847.90 = 19,043.75/x
  3. Step 3: Cross multiply
    33,947.75x = 46,847.90 × 19,043.75
  4. Step 4: Simplify right side
    33,947.75x = 892,159,600.41
  5. Step 5: Solve for x
    x = 892,159,600.41/33,947.75
  6. Step 6: Final answer
    x = 26,280.38

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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.