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Finding the Fourth Proportional to 33,108.54, 49,634.82 and 14,374.41

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Solution

The fourth proportional to 33,108.54, 49,634.82 and 14,374.41 is: 21,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,108.54 : 49,634.82 = 14,374.41 : x
  2. Step 2: Convert to fraction form
    33,108.54/49,634.82 = 14,374.41/x
  3. Step 3: Cross multiply
    33,108.54x = 49,634.82 × 14,374.41
  4. Step 4: Simplify right side
    33,108.54x = 713,471,252.96
  5. Step 5: Solve for x
    x = 713,471,252.96/33,108.54
  6. Step 6: Final answer
    x = 21,549.46

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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.