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Finding the Fourth Proportional to 36,851.38, 50,854.92 and 20,084.38

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Solution

The fourth proportional to 36,851.38, 50,854.92 and 20,084.38 is: 27,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,851.38 : 50,854.92 = 20,084.38 : x
  2. Step 2: Convert to fraction form
    36,851.38/50,854.92 = 20,084.38/x
  3. Step 3: Cross multiply
    36,851.38x = 50,854.92 × 20,084.38
  4. Step 4: Simplify right side
    36,851.38x = 1,021,389,538.15
  5. Step 5: Solve for x
    x = 1,021,389,538.15/36,851.38
  6. Step 6: Final answer
    x = 27,716.45

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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.