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Finding the Fourth Proportional to 33,118.07, 49,677.14 and 8,158.64

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Solution

The fourth proportional to 33,118.07, 49,677.14 and 8,158.64 is: 12,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,118.07 : 49,677.14 = 8,158.64 : x
  2. Step 2: Convert to fraction form
    33,118.07/49,677.14 = 8,158.64/x
  3. Step 3: Cross multiply
    33,118.07x = 49,677.14 × 8,158.64
  4. Step 4: Simplify right side
    33,118.07x = 405,297,673.50
  5. Step 5: Solve for x
    x = 405,297,673.50/33,118.07
  6. Step 6: Final answer
    x = 12,237.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.