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Finding the Fourth Proportional to 36,941.08, 50,978.78 and 20,174.08

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Solution

The fourth proportional to 36,941.08, 50,978.78 and 20,174.08 is: 27,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,941.08 : 50,978.78 = 20,174.08 : x
  2. Step 2: Convert to fraction form
    36,941.08/50,978.78 = 20,174.08/x
  3. Step 3: Cross multiply
    36,941.08x = 50,978.78 × 20,174.08
  4. Step 4: Simplify right side
    36,941.08x = 1,028,449,986.02
  5. Step 5: Solve for x
    x = 1,028,449,986.02/36,941.08
  6. Step 6: Final answer
    x = 27,840.28

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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.