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Finding the Fourth Proportional to 73,185.84, 109,796.96 and 33,770.40

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Solution

The fourth proportional to 73,185.84, 109,796.96 and 33,770.40 is: 50,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,185.84 : 109,796.96 = 33,770.40 : x
  2. Step 2: Convert to fraction form
    73,185.84/109,796.96 = 33,770.40/x
  3. Step 3: Cross multiply
    73,185.84x = 109,796.96 × 33,770.40
  4. Step 4: Simplify right side
    73,185.84x = 3,707,887,257.98
  5. Step 5: Solve for x
    x = 3,707,887,257.98/73,185.84
  6. Step 6: Final answer
    x = 50,664.00

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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.