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Finding the Fourth Proportional to 32,376.14, 44,685.70 and 20,431.44

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Solution

The fourth proportional to 32,376.14, 44,685.70 and 20,431.44 is: 28,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,376.14 : 44,685.70 = 20,431.44 : x
  2. Step 2: Convert to fraction form
    32,376.14/44,685.70 = 20,431.44/x
  3. Step 3: Cross multiply
    32,376.14x = 44,685.70 × 20,431.44
  4. Step 4: Simplify right side
    32,376.14x = 912,993,198.41
  5. Step 5: Solve for x
    x = 912,993,198.41/32,376.14
  6. Step 6: Final answer
    x = 28,199.57

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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.