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Finding the Fourth Proportional to 33,025.22, 49,537.65 and 8,065.40

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Solution

The fourth proportional to 33,025.22, 49,537.65 and 8,065.40 is: 12,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,025.22 : 49,537.65 = 8,065.40 : x
  2. Step 2: Convert to fraction form
    33,025.22/49,537.65 = 8,065.40/x
  3. Step 3: Cross multiply
    33,025.22x = 49,537.65 × 8,065.40
  4. Step 4: Simplify right side
    33,025.22x = 399,540,714.62
  5. Step 5: Solve for x
    x = 399,540,714.62/33,025.22
  6. Step 6: Final answer
    x = 12,098.05

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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.