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Finding the Fourth Proportional to 32,144.56, 48,201.03 and 13,418.98

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Solution

The fourth proportional to 32,144.56, 48,201.03 and 13,418.98 is: 20,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.56 : 48,201.03 = 13,418.98 : x
  2. Step 2: Convert to fraction form
    32,144.56/48,201.03 = 13,418.98/x
  3. Step 3: Cross multiply
    32,144.56x = 48,201.03 × 13,418.98
  4. Step 4: Simplify right side
    32,144.56x = 646,808,657.55
  5. Step 5: Solve for x
    x = 646,808,657.55/32,144.56
  6. Step 6: Final answer
    x = 20,121.87

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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.