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Finding the Fourth Proportional to 30,204.65, 41,683.81 and 16,775.97

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Solution

The fourth proportional to 30,204.65, 41,683.81 and 16,775.97 is: 23,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.65 : 41,683.81 = 16,775.97 : x
  2. Step 2: Convert to fraction form
    30,204.65/41,683.81 = 16,775.97/x
  3. Step 3: Cross multiply
    30,204.65x = 41,683.81 × 16,775.97
  4. Step 4: Simplify right side
    30,204.65x = 699,286,346.05
  5. Step 5: Solve for x
    x = 699,286,346.05/30,204.65
  6. Step 6: Final answer
    x = 23,151.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.