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Finding the Fourth Proportional to 33,102.54, 49,625.82 and 14,368.41

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Solution

The fourth proportional to 33,102.54, 49,625.82 and 14,368.41 is: 21,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.54 : 49,625.82 = 14,368.41 : x
  2. Step 2: Convert to fraction form
    33,102.54/49,625.82 = 14,368.41/x
  3. Step 3: Cross multiply
    33,102.54x = 49,625.82 × 14,368.41
  4. Step 4: Simplify right side
    33,102.54x = 713,044,128.35
  5. Step 5: Solve for x
    x = 713,044,128.35/33,102.54
  6. Step 6: Final answer
    x = 21,540.47

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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.