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Finding the Fourth Proportional to 27,121.50, 40,656.60 and 20,447.64

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Solution

The fourth proportional to 27,121.50, 40,656.60 and 20,447.64 is: 30,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,121.50 : 40,656.60 = 20,447.64 : x
  2. Step 2: Convert to fraction form
    27,121.50/40,656.60 = 20,447.64/x
  3. Step 3: Cross multiply
    27,121.50x = 40,656.60 × 20,447.64
  4. Step 4: Simplify right side
    27,121.50x = 831,331,520.42
  5. Step 5: Solve for x
    x = 831,331,520.42/27,121.50
  6. Step 6: Final answer
    x = 30,652.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.