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Finding the Fourth Proportional to 36,852, 50,857.16 and 20,085

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Solution

The fourth proportional to 36,852, 50,857.16 and 20,085 is: 27,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,852 : 50,857.16 = 20,085 : x
  2. Step 2: Convert to fraction form
    36,852/50,857.16 = 20,085/x
  3. Step 3: Cross multiply
    36,852x = 50,857.16 × 20,085
  4. Step 4: Simplify right side
    36,852x = 1,021,466,058.60
  5. Step 5: Solve for x
    x = 1,021,466,058.60/36,852
  6. Step 6: Final answer
    x = 27,718.06

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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.