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Finding the Fourth Proportional to 47,293.92, 65,296 and 29,413.26

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Solution

The fourth proportional to 47,293.92, 65,296 and 29,413.26 is: 40,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,293.92 : 65,296 = 29,413.26 : x
  2. Step 2: Convert to fraction form
    47,293.92/65,296 = 29,413.26/x
  3. Step 3: Cross multiply
    47,293.92x = 65,296 × 29,413.26
  4. Step 4: Simplify right side
    47,293.92x = 1,920,568,224.96
  5. Step 5: Solve for x
    x = 1,920,568,224.96/47,293.92
  6. Step 6: Final answer
    x = 40,609.20

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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.