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Finding the Fourth Proportional to 34,950.78, 48,233.78 and 19,843.16

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Solution

The fourth proportional to 34,950.78, 48,233.78 and 19,843.16 is: 27,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,950.78 : 48,233.78 = 19,843.16 : x
  2. Step 2: Convert to fraction form
    34,950.78/48,233.78 = 19,843.16/x
  3. Step 3: Cross multiply
    34,950.78x = 48,233.78 × 19,843.16
  4. Step 4: Simplify right side
    34,950.78x = 957,110,273.56
  5. Step 5: Solve for x
    x = 957,110,273.56/34,950.78
  6. Step 6: Final answer
    x = 27,384.52

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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.