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Finding the Fourth Proportional to 32,403.11, 48,611.43 and 13,683.20

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Solution

The fourth proportional to 32,403.11, 48,611.43 and 13,683.20 is: 20,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.11 : 48,611.43 = 13,683.20 : x
  2. Step 2: Convert to fraction form
    32,403.11/48,611.43 = 13,683.20/x
  3. Step 3: Cross multiply
    32,403.11x = 48,611.43 × 13,683.20
  4. Step 4: Simplify right side
    32,403.11x = 665,159,675.92
  5. Step 5: Solve for x
    x = 665,159,675.92/32,403.11
  6. Step 6: Final answer
    x = 20,527.65

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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.