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Finding the Fourth Proportional to 36,790, 50,770.38 and 20,023

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Solution

The fourth proportional to 36,790, 50,770.38 and 20,023 is: 27,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,790 : 50,770.38 = 20,023 : x
  2. Step 2: Convert to fraction form
    36,790/50,770.38 = 20,023/x
  3. Step 3: Cross multiply
    36,790x = 50,770.38 × 20,023
  4. Step 4: Simplify right side
    36,790x = 1,016,575,318.74
  5. Step 5: Solve for x
    x = 1,016,575,318.74/36,790
  6. Step 6: Final answer
    x = 27,631.84

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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.