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Finding the Fourth Proportional to 33,647.75, 50,471.63 and 9,023.75

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Solution

The fourth proportional to 33,647.75, 50,471.63 and 9,023.75 is: 13,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.75 : 50,471.63 = 9,023.75 : x
  2. Step 2: Convert to fraction form
    33,647.75/50,471.63 = 9,023.75/x
  3. Step 3: Cross multiply
    33,647.75x = 50,471.63 × 9,023.75
  4. Step 4: Simplify right side
    33,647.75x = 455,443,371.21
  5. Step 5: Solve for x
    x = 455,443,371.21/33,647.75
  6. Step 6: Final answer
    x = 13,535.63

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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.