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Finding the Fourth Proportional to 30,982.73, 46,474.14 and 7,609.19

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Solution

The fourth proportional to 30,982.73, 46,474.14 and 7,609.19 is: 11,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.73 : 46,474.14 = 7,609.19 : x
  2. Step 2: Convert to fraction form
    30,982.73/46,474.14 = 7,609.19/x
  3. Step 3: Cross multiply
    30,982.73x = 46,474.14 × 7,609.19
  4. Step 4: Simplify right side
    30,982.73x = 353,630,561.35
  5. Step 5: Solve for x
    x = 353,630,561.35/30,982.73
  6. Step 6: Final answer
    x = 11,413.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.