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Finding the Fourth Proportional to 33,815.84, 46,682.12 and 22,504.20

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Solution

The fourth proportional to 33,815.84, 46,682.12 and 22,504.20 is: 31,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,815.84 : 46,682.12 = 22,504.20 : x
  2. Step 2: Convert to fraction form
    33,815.84/46,682.12 = 22,504.20/x
  3. Step 3: Cross multiply
    33,815.84x = 46,682.12 × 22,504.20
  4. Step 4: Simplify right side
    33,815.84x = 1,050,543,764.90
  5. Step 5: Solve for x
    x = 1,050,543,764.90/33,815.84
  6. Step 6: Final answer
    x = 31,066.62

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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.