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Finding the Fourth Proportional to 32,144.41, 48,224.32 and 13,414.03

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Solution

The fourth proportional to 32,144.41, 48,224.32 and 13,414.03 is: 20,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.41 : 48,224.32 = 13,414.03 : x
  2. Step 2: Convert to fraction form
    32,144.41/48,224.32 = 13,414.03/x
  3. Step 3: Cross multiply
    32,144.41x = 48,224.32 × 13,414.03
  4. Step 4: Simplify right side
    32,144.41x = 646,882,441.67
  5. Step 5: Solve for x
    x = 646,882,441.67/32,144.41
  6. Step 6: Final answer
    x = 20,124.26

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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.