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Finding the Fourth Proportional to 19,611, 29,416.50 and 5,019

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Solution

The fourth proportional to 19,611, 29,416.50 and 5,019 is: 7,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,611 : 29,416.50 = 5,019 : x
  2. Step 2: Convert to fraction form
    19,611/29,416.50 = 5,019/x
  3. Step 3: Cross multiply
    19,611x = 29,416.50 × 5,019
  4. Step 4: Simplify right side
    19,611x = 147,641,413.50
  5. Step 5: Solve for x
    x = 147,641,413.50/19,611
  6. Step 6: Final answer
    x = 7,528.50

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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.