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Finding the Fourth Proportional to 33,223.34, 49,831.76 and 12,448.46

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Solution

The fourth proportional to 33,223.34, 49,831.76 and 12,448.46 is: 18,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.34 : 49,831.76 = 12,448.46 : x
  2. Step 2: Convert to fraction form
    33,223.34/49,831.76 = 12,448.46/x
  3. Step 3: Cross multiply
    33,223.34x = 49,831.76 × 12,448.46
  4. Step 4: Simplify right side
    33,223.34x = 620,328,671.09
  5. Step 5: Solve for x
    x = 620,328,671.09/33,223.34
  6. Step 6: Final answer
    x = 18,671.47

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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.