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Finding the Fourth Proportional to 36,189.72, 49,941.54 and 20,274.30

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Solution

The fourth proportional to 36,189.72, 49,941.54 and 20,274.30 is: 27,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,189.72 : 49,941.54 = 20,274.30 : x
  2. Step 2: Convert to fraction form
    36,189.72/49,941.54 = 20,274.30/x
  3. Step 3: Cross multiply
    36,189.72x = 49,941.54 × 20,274.30
  4. Step 4: Simplify right side
    36,189.72x = 1,012,529,764.42
  5. Step 5: Solve for x
    x = 1,012,529,764.42/36,189.72
  6. Step 6: Final answer
    x = 27,978.38

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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.