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Finding the Fourth Proportional to 34,105.42, 47,067.64 and 19,202.38

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Solution

The fourth proportional to 34,105.42, 47,067.64 and 19,202.38 is: 26,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,105.42 : 47,067.64 = 19,202.38 : x
  2. Step 2: Convert to fraction form
    34,105.42/47,067.64 = 19,202.38/x
  3. Step 3: Cross multiply
    34,105.42x = 47,067.64 × 19,202.38
  4. Step 4: Simplify right side
    34,105.42x = 903,810,708.98
  5. Step 5: Solve for x
    x = 903,810,708.98/34,105.42
  6. Step 6: Final answer
    x = 26,500.50

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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.