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Finding the Fourth Proportional to 36,742.14, 50,704.50 and 19,975.50

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Solution

The fourth proportional to 36,742.14, 50,704.50 and 19,975.50 is: 27,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,742.14 : 50,704.50 = 19,975.50 : x
  2. Step 2: Convert to fraction form
    36,742.14/50,704.50 = 19,975.50/x
  3. Step 3: Cross multiply
    36,742.14x = 50,704.50 × 19,975.50
  4. Step 4: Simplify right side
    36,742.14x = 1,012,847,739.75
  5. Step 5: Solve for x
    x = 1,012,847,739.75/36,742.14
  6. Step 6: Final answer
    x = 27,566.38

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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.