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Finding the Fourth Proportional to 32,175.96, 44,396.49 and 20,232.36

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Solution

The fourth proportional to 32,175.96, 44,396.49 and 20,232.36 is: 27,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.96 : 44,396.49 = 20,232.36 : x
  2. Step 2: Convert to fraction form
    32,175.96/44,396.49 = 20,232.36/x
  3. Step 3: Cross multiply
    32,175.96x = 44,396.49 × 20,232.36
  4. Step 4: Simplify right side
    32,175.96x = 898,245,768.42
  5. Step 5: Solve for x
    x = 898,245,768.42/32,175.96
  6. Step 6: Final answer
    x = 27,916.67

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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.