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Finding the Fourth Proportional to 33,238.78, 49,830.21 and 15,460.41

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Solution

The fourth proportional to 33,238.78, 49,830.21 and 15,460.41 is: 23,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238.78 : 49,830.21 = 15,460.41 : x
  2. Step 2: Convert to fraction form
    33,238.78/49,830.21 = 15,460.41/x
  3. Step 3: Cross multiply
    33,238.78x = 49,830.21 × 15,460.41
  4. Step 4: Simplify right side
    33,238.78x = 770,395,290.12
  5. Step 5: Solve for x
    x = 770,395,290.12/33,238.78
  6. Step 6: Final answer
    x = 23,177.60

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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.