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Finding the Fourth Proportional to 33,523.99, 50,303.40 and 13,538.40

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Solution

The fourth proportional to 33,523.99, 50,303.40 and 13,538.40 is: 20,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523.99 : 50,303.40 = 13,538.40 : x
  2. Step 2: Convert to fraction form
    33,523.99/50,303.40 = 13,538.40/x
  3. Step 3: Cross multiply
    33,523.99x = 50,303.40 × 13,538.40
  4. Step 4: Simplify right side
    33,523.99x = 681,027,550.56
  5. Step 5: Solve for x
    x = 681,027,550.56/33,523.99
  6. Step 6: Final answer
    x = 20,314.63

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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.