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Finding the Fourth Proportional to 31,458.93, 43,413.48 and 17,311.74

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Solution

The fourth proportional to 31,458.93, 43,413.48 and 17,311.74 is: 23,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.93 : 43,413.48 = 17,311.74 : x
  2. Step 2: Convert to fraction form
    31,458.93/43,413.48 = 17,311.74/x
  3. Step 3: Cross multiply
    31,458.93x = 43,413.48 × 17,311.74
  4. Step 4: Simplify right side
    31,458.93x = 751,562,878.26
  5. Step 5: Solve for x
    x = 751,562,878.26/31,458.93
  6. Step 6: Final answer
    x = 23,890.29

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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.