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Finding the Fourth Proportional to 41,322, 57,174.48 and 36,027.84

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Solution

The fourth proportional to 41,322, 57,174.48 and 36,027.84 is: 49,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,322 : 57,174.48 = 36,027.84 : x
  2. Step 2: Convert to fraction form
    41,322/57,174.48 = 36,027.84/x
  3. Step 3: Cross multiply
    41,322x = 57,174.48 × 36,027.84
  4. Step 4: Simplify right side
    41,322x = 2,059,873,017.52
  5. Step 5: Solve for x
    x = 2,059,873,017.52/41,322
  6. Step 6: Final answer
    x = 49,849.31

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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.