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Finding the Fourth Proportional to 33,203.70, 49,812.84 and 9,831.96

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Solution

The fourth proportional to 33,203.70, 49,812.84 and 9,831.96 is: 14,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,203.70 : 49,812.84 = 9,831.96 : x
  2. Step 2: Convert to fraction form
    33,203.70/49,812.84 = 9,831.96/x
  3. Step 3: Cross multiply
    33,203.70x = 49,812.84 × 9,831.96
  4. Step 4: Simplify right side
    33,203.70x = 489,757,850.37
  5. Step 5: Solve for x
    x = 489,757,850.37/33,203.70
  6. Step 6: Final answer
    x = 14,750.10

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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.