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Finding the Fourth Proportional to 30,201.75, 41,678.98 and 16,774.25

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Solution

The fourth proportional to 30,201.75, 41,678.98 and 16,774.25 is: 23,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.75 : 41,678.98 = 16,774.25 : x
  2. Step 2: Convert to fraction form
    30,201.75/41,678.98 = 16,774.25/x
  3. Step 3: Cross multiply
    30,201.75x = 41,678.98 × 16,774.25
  4. Step 4: Simplify right side
    30,201.75x = 699,133,379.93
  5. Step 5: Solve for x
    x = 699,133,379.93/30,201.75
  6. Step 6: Final answer
    x = 23,148.77

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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.