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Finding the Fourth Proportional to 32,188.32, 44,413.92 and 20,713.32

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Solution

The fourth proportional to 32,188.32, 44,413.92 and 20,713.32 is: 28,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188.32 : 44,413.92 = 20,713.32 : x
  2. Step 2: Convert to fraction form
    32,188.32/44,413.92 = 20,713.32/x
  3. Step 3: Cross multiply
    32,188.32x = 44,413.92 × 20,713.32
  4. Step 4: Simplify right side
    32,188.32x = 919,959,737.41
  5. Step 5: Solve for x
    x = 919,959,737.41/32,188.32
  6. Step 6: Final answer
    x = 28,580.55

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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.