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Finding the Fourth Proportional to 32,052.44, 44,235.50 and 17,906.20

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Solution

The fourth proportional to 32,052.44, 44,235.50 and 17,906.20 is: 24,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,052.44 : 44,235.50 = 17,906.20 : x
  2. Step 2: Convert to fraction form
    32,052.44/44,235.50 = 17,906.20/x
  3. Step 3: Cross multiply
    32,052.44x = 44,235.50 × 17,906.20
  4. Step 4: Simplify right side
    32,052.44x = 792,089,710.10
  5. Step 5: Solve for x
    x = 792,089,710.10/32,052.44
  6. Step 6: Final answer
    x = 24,712.31

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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.