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Finding the Fourth Proportional to 36,019.50, 49,704.89 and 20,104.98

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Solution

The fourth proportional to 36,019.50, 49,704.89 and 20,104.98 is: 27,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,019.50 : 49,704.89 = 20,104.98 : x
  2. Step 2: Convert to fraction form
    36,019.50/49,704.89 = 20,104.98/x
  3. Step 3: Cross multiply
    36,019.50x = 49,704.89 × 20,104.98
  4. Step 4: Simplify right side
    36,019.50x = 999,315,645.52
  5. Step 5: Solve for x
    x = 999,315,645.52/36,019.50
  6. Step 6: Final answer
    x = 27,743.74

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1.5x scale

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.