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Finding the Fourth Proportional to 36,975, 51,025.56 and 20,208

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Solution

The fourth proportional to 36,975, 51,025.56 and 20,208 is: 27,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,975 : 51,025.56 = 20,208 : x
  2. Step 2: Convert to fraction form
    36,975/51,025.56 = 20,208/x
  3. Step 3: Cross multiply
    36,975x = 51,025.56 × 20,208
  4. Step 4: Simplify right side
    36,975x = 1,031,124,516.48
  5. Step 5: Solve for x
    x = 1,031,124,516.48/36,975
  6. Step 6: Final answer
    x = 27,887.07

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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.