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Finding the Fourth Proportional to 33,978.94, 50,945.90 and 16,212.34

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Solution

The fourth proportional to 33,978.94, 50,945.90 and 16,212.34 is: 24,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.94 : 50,945.90 = 16,212.34 : x
  2. Step 2: Convert to fraction form
    33,978.94/50,945.90 = 16,212.34/x
  3. Step 3: Cross multiply
    33,978.94x = 50,945.90 × 16,212.34
  4. Step 4: Simplify right side
    33,978.94x = 825,952,252.41
  5. Step 5: Solve for x
    x = 825,952,252.41/33,978.94
  6. Step 6: Final answer
    x = 24,307.77

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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.