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Finding the Fourth Proportional to 32,786.52, 49,181.94 and 9,413.16

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Solution

The fourth proportional to 32,786.52, 49,181.94 and 9,413.16 is: 14,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786.52 : 49,181.94 = 9,413.16 : x
  2. Step 2: Convert to fraction form
    32,786.52/49,181.94 = 9,413.16/x
  3. Step 3: Cross multiply
    32,786.52x = 49,181.94 × 9,413.16
  4. Step 4: Simplify right side
    32,786.52x = 462,957,470.33
  5. Step 5: Solve for x
    x = 462,957,470.33/32,786.52
  6. Step 6: Final answer
    x = 14,120.36

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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.