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Finding the Fourth Proportional to 33,204.88, 49,815.72 and 9,831.28

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Solution

The fourth proportional to 33,204.88, 49,815.72 and 9,831.28 is: 14,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204.88 : 49,815.72 = 9,831.28 : x
  2. Step 2: Convert to fraction form
    33,204.88/49,815.72 = 9,831.28/x
  3. Step 3: Cross multiply
    33,204.88x = 49,815.72 × 9,831.28
  4. Step 4: Simplify right side
    33,204.88x = 489,752,291.72
  5. Step 5: Solve for x
    x = 489,752,291.72/33,204.88
  6. Step 6: Final answer
    x = 14,749.41

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