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Finding the Fourth Proportional to 33,203.94, 49,815.66 and 9,831

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Solution

The fourth proportional to 33,203.94, 49,815.66 and 9,831 is: 14,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,203.94 : 49,815.66 = 9,831 : x
  2. Step 2: Convert to fraction form
    33,203.94/49,815.66 = 9,831/x
  3. Step 3: Cross multiply
    33,203.94x = 49,815.66 × 9,831
  4. Step 4: Simplify right side
    33,203.94x = 489,737,753.46
  5. Step 5: Solve for x
    x = 489,737,753.46/33,203.94
  6. Step 6: Final answer
    x = 14,749.39

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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.