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Finding the Fourth Proportional to 80,531.82, 120,797.63 and 33,784.70

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Solution

The fourth proportional to 80,531.82, 120,797.63 and 33,784.70 is: 50,677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,531.82 : 120,797.63 = 33,784.70 : x
  2. Step 2: Convert to fraction form
    80,531.82/120,797.63 = 33,784.70/x
  3. Step 3: Cross multiply
    80,531.82x = 120,797.63 × 33,784.70
  4. Step 4: Simplify right side
    80,531.82x = 4,081,111,044.04
  5. Step 5: Solve for x
    x = 4,081,111,044.04/80,531.82
  6. Step 6: Final answer
    x = 50,677.00

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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.