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Finding the Fourth Proportional to 36,909, 50,934.47 and 20,142

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Solution

The fourth proportional to 36,909, 50,934.47 and 20,142 is: 27,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909 : 50,934.47 = 20,142 : x
  2. Step 2: Convert to fraction form
    36,909/50,934.47 = 20,142/x
  3. Step 3: Cross multiply
    36,909x = 50,934.47 × 20,142
  4. Step 4: Simplify right side
    36,909x = 1,025,921,994.03
  5. Step 5: Solve for x
    x = 1,025,921,994.03/36,909
  6. Step 6: Final answer
    x = 27,795.98

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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.