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Finding the Fourth Proportional to 34,762.36, 47,960.78 and 19,653.56

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Solution

The fourth proportional to 34,762.36, 47,960.78 and 19,653.56 is: 27,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762.36 : 47,960.78 = 19,653.56 : x
  2. Step 2: Convert to fraction form
    34,762.36/47,960.78 = 19,653.56/x
  3. Step 3: Cross multiply
    34,762.36x = 47,960.78 × 19,653.56
  4. Step 4: Simplify right side
    34,762.36x = 942,600,067.38
  5. Step 5: Solve for x
    x = 942,600,067.38/34,762.36
  6. Step 6: Final answer
    x = 27,115.54

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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.