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Finding the Fourth Proportional to 32,413.41, 48,583.98 and 13,687.83

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Solution

The fourth proportional to 32,413.41, 48,583.98 and 13,687.83 is: 20,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.41 : 48,583.98 = 13,687.83 : x
  2. Step 2: Convert to fraction form
    32,413.41/48,583.98 = 13,687.83/x
  3. Step 3: Cross multiply
    32,413.41x = 48,583.98 × 13,687.83
  4. Step 4: Simplify right side
    32,413.41x = 665,009,258.96
  5. Step 5: Solve for x
    x = 665,009,258.96/32,413.41
  6. Step 6: Final answer
    x = 20,516.49

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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.