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Finding the Fourth Proportional to 31,619.58, 47,413.44 and 10,552.32

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Solution

The fourth proportional to 31,619.58, 47,413.44 and 10,552.32 is: 15,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,619.58 : 47,413.44 = 10,552.32 : x
  2. Step 2: Convert to fraction form
    31,619.58/47,413.44 = 10,552.32/x
  3. Step 3: Cross multiply
    31,619.58x = 47,413.44 × 10,552.32
  4. Step 4: Simplify right side
    31,619.58x = 500,321,791.18
  5. Step 5: Solve for x
    x = 500,321,791.18/31,619.58
  6. Step 6: Final answer
    x = 15,823.16

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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.