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Finding the Fourth Proportional to 33,115.78, 49,673.78 and 8,156.40

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Solution

The fourth proportional to 33,115.78, 49,673.78 and 8,156.40 is: 12,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,115.78 : 49,673.78 = 8,156.40 : x
  2. Step 2: Convert to fraction form
    33,115.78/49,673.78 = 8,156.40/x
  3. Step 3: Cross multiply
    33,115.78x = 49,673.78 × 8,156.40
  4. Step 4: Simplify right side
    33,115.78x = 405,159,219.19
  5. Step 5: Solve for x
    x = 405,159,219.19/33,115.78
  6. Step 6: Final answer
    x = 12,234.63

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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.