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Finding the Fourth Proportional to 33,147.62, 49,719.81 and 12,369.50

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Solution

The fourth proportional to 33,147.62, 49,719.81 and 12,369.50 is: 18,553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147.62 : 49,719.81 = 12,369.50 : x
  2. Step 2: Convert to fraction form
    33,147.62/49,719.81 = 12,369.50/x
  3. Step 3: Cross multiply
    33,147.62x = 49,719.81 × 12,369.50
  4. Step 4: Simplify right side
    33,147.62x = 615,009,189.80
  5. Step 5: Solve for x
    x = 615,009,189.80/33,147.62
  6. Step 6: Final answer
    x = 18,553.65

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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.