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Finding the Fourth Proportional to 32,270.16, 48,413.88 and 29,185.68

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Solution

The fourth proportional to 32,270.16, 48,413.88 and 29,185.68 is: 43,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,270.16 : 48,413.88 = 29,185.68 : x
  2. Step 2: Convert to fraction form
    32,270.16/48,413.88 = 29,185.68/x
  3. Step 3: Cross multiply
    32,270.16x = 48,413.88 × 29,185.68
  4. Step 4: Simplify right side
    32,270.16x = 1,412,992,009.24
  5. Step 5: Solve for x
    x = 1,412,992,009.24/32,270.16
  6. Step 6: Final answer
    x = 43,786.33

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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.