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Finding the Fourth Proportional to 46,413.34, 69,626.49 and 23,033.50

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Solution

The fourth proportional to 46,413.34, 69,626.49 and 23,033.50 is: 34,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413.34 : 69,626.49 = 23,033.50 : x
  2. Step 2: Convert to fraction form
    46,413.34/69,626.49 = 23,033.50/x
  3. Step 3: Cross multiply
    46,413.34x = 69,626.49 × 23,033.50
  4. Step 4: Simplify right side
    46,413.34x = 1,603,741,757.42
  5. Step 5: Solve for x
    x = 1,603,741,757.42/46,413.34
  6. Step 6: Final answer
    x = 34,553.47

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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.