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Finding the Fourth Proportional to 36,857.50, 50,863.44 and 20,090.50

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Solution

The fourth proportional to 36,857.50, 50,863.44 and 20,090.50 is: 27,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,857.50 : 50,863.44 = 20,090.50 : x
  2. Step 2: Convert to fraction form
    36,857.50/50,863.44 = 20,090.50/x
  3. Step 3: Cross multiply
    36,857.50x = 50,863.44 × 20,090.50
  4. Step 4: Simplify right side
    36,857.50x = 1,021,871,941.32
  5. Step 5: Solve for x
    x = 1,021,871,941.32/36,857.50
  6. Step 6: Final answer
    x = 27,724.94

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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.