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Finding the Fourth Proportional to 33,153.58, 49,729.88 and 8,193.63

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Solution

The fourth proportional to 33,153.58, 49,729.88 and 8,193.63 is: 12,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.58 : 49,729.88 = 8,193.63 : x
  2. Step 2: Convert to fraction form
    33,153.58/49,729.88 = 8,193.63/x
  3. Step 3: Cross multiply
    33,153.58x = 49,729.88 × 8,193.63
  4. Step 4: Simplify right side
    33,153.58x = 407,468,070.66
  5. Step 5: Solve for x
    x = 407,468,070.66/33,153.58
  6. Step 6: Final answer
    x = 12,290.32

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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.