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Finding the Fourth Proportional to 47,396.94, 65,402.01 and 30,163.38

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Solution

The fourth proportional to 47,396.94, 65,402.01 and 30,163.38 is: 41,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,396.94 : 65,402.01 = 30,163.38 : x
  2. Step 2: Convert to fraction form
    47,396.94/65,402.01 = 30,163.38/x
  3. Step 3: Cross multiply
    47,396.94x = 65,402.01 × 30,163.38
  4. Step 4: Simplify right side
    47,396.94x = 1,972,745,680.39
  5. Step 5: Solve for x
    x = 1,972,745,680.39/47,396.94
  6. Step 6: Final answer
    x = 41,621.79

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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.