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Finding the Fourth Proportional to 36,146.86, 54,231.86 and 11,191.84

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Solution

The fourth proportional to 36,146.86, 54,231.86 and 11,191.84 is: 16,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,146.86 : 54,231.86 = 11,191.84 : x
  2. Step 2: Convert to fraction form
    36,146.86/54,231.86 = 11,191.84/x
  3. Step 3: Cross multiply
    36,146.86x = 54,231.86 × 11,191.84
  4. Step 4: Simplify right side
    36,146.86x = 606,954,192.42
  5. Step 5: Solve for x
    x = 606,954,192.42/36,146.86
  6. Step 6: Final answer
    x = 16,791.34

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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.