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Finding the Fourth Proportional to 36,921.78, 50,932.68 and 27,953.76

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Solution

The fourth proportional to 36,921.78, 50,932.68 and 27,953.76 is: 38,561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,921.78 : 50,932.68 = 27,953.76 : x
  2. Step 2: Convert to fraction form
    36,921.78/50,932.68 = 27,953.76/x
  3. Step 3: Cross multiply
    36,921.78x = 50,932.68 × 27,953.76
  4. Step 4: Simplify right side
    36,921.78x = 1,423,759,912.88
  5. Step 5: Solve for x
    x = 1,423,759,912.88/36,921.78
  6. Step 6: Final answer
    x = 38,561.52

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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.