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Finding the Fourth Proportional to 33,743.20, 50,614.80 and 31,928.80

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Solution

The fourth proportional to 33,743.20, 50,614.80 and 31,928.80 is: 47,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,743.20 : 50,614.80 = 31,928.80 : x
  2. Step 2: Convert to fraction form
    33,743.20/50,614.80 = 31,928.80/x
  3. Step 3: Cross multiply
    33,743.20x = 50,614.80 × 31,928.80
  4. Step 4: Simplify right side
    33,743.20x = 1,616,069,826.24
  5. Step 5: Solve for x
    x = 1,616,069,826.24/33,743.20
  6. Step 6: Final answer
    x = 47,893.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.