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Finding the Fourth Proportional to 33,154.09, 49,730.64 and 8,194.14

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Solution

The fourth proportional to 33,154.09, 49,730.64 and 8,194.14 is: 12,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154.09 : 49,730.64 = 8,194.14 : x
  2. Step 2: Convert to fraction form
    33,154.09/49,730.64 = 8,194.14/x
  3. Step 3: Cross multiply
    33,154.09x = 49,730.64 × 8,194.14
  4. Step 4: Simplify right side
    33,154.09x = 407,499,645.08
  5. Step 5: Solve for x
    x = 407,499,645.08/33,154.09
  6. Step 6: Final answer
    x = 12,291.08

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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.