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Finding the Fourth Proportional to 36,742, 50,704.02 and 19,975

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Solution

The fourth proportional to 36,742, 50,704.02 and 19,975 is: 27,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,742 : 50,704.02 = 19,975 : x
  2. Step 2: Convert to fraction form
    36,742/50,704.02 = 19,975/x
  3. Step 3: Cross multiply
    36,742x = 50,704.02 × 19,975
  4. Step 4: Simplify right side
    36,742x = 1,012,812,799.50
  5. Step 5: Solve for x
    x = 1,012,812,799.50/36,742
  6. Step 6: Final answer
    x = 27,565.53

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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.