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Finding the Fourth Proportional to 33,083.46, 45,664.83 and 20,167.40

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Solution

The fourth proportional to 33,083.46, 45,664.83 and 20,167.40 is: 27,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.46 : 45,664.83 = 20,167.40 : x
  2. Step 2: Convert to fraction form
    33,083.46/45,664.83 = 20,167.40/x
  3. Step 3: Cross multiply
    33,083.46x = 45,664.83 × 20,167.40
  4. Step 4: Simplify right side
    33,083.46x = 920,941,006.70
  5. Step 5: Solve for x
    x = 920,941,006.70/33,083.46
  6. Step 6: Final answer
    x = 27,836.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.