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Finding the Fourth Proportional to 33,106.86, 49,658.94 and 8,145.72

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Solution

The fourth proportional to 33,106.86, 49,658.94 and 8,145.72 is: 12,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.86 : 49,658.94 = 8,145.72 : x
  2. Step 2: Convert to fraction form
    33,106.86/49,658.94 = 8,145.72/x
  3. Step 3: Cross multiply
    33,106.86x = 49,658.94 × 8,145.72
  4. Step 4: Simplify right side
    33,106.86x = 404,507,820.74
  5. Step 5: Solve for x
    x = 404,507,820.74/33,106.86
  6. Step 6: Final answer
    x = 12,218.25

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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.