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Finding the Fourth Proportional to 36,857.13, 50,862.86 and 20,090.13

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Solution

The fourth proportional to 36,857.13, 50,862.86 and 20,090.13 is: 27,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,857.13 : 50,862.86 = 20,090.13 : x
  2. Step 2: Convert to fraction form
    36,857.13/50,862.86 = 20,090.13/x
  3. Step 3: Cross multiply
    36,857.13x = 50,862.86 × 20,090.13
  4. Step 4: Simplify right side
    36,857.13x = 1,021,841,469.57
  5. Step 5: Solve for x
    x = 1,021,841,469.57/36,857.13
  6. Step 6: Final answer
    x = 27,724.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.