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Finding the Fourth Proportional to 34,442.44, 51,571.10 and 21,894.44

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Solution

The fourth proportional to 34,442.44, 51,571.10 and 21,894.44 is: 32,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,442.44 : 51,571.10 = 21,894.44 : x
  2. Step 2: Convert to fraction form
    34,442.44/51,571.10 = 21,894.44/x
  3. Step 3: Cross multiply
    34,442.44x = 51,571.10 × 21,894.44
  4. Step 4: Simplify right side
    34,442.44x = 1,129,120,354.68
  5. Step 5: Solve for x
    x = 1,129,120,354.68/34,442.44
  6. Step 6: Final answer
    x = 32,782.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.