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Finding the Fourth Proportional to 40,516.50, 60,771.69 and 14,223

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Solution

The fourth proportional to 40,516.50, 60,771.69 and 14,223 is: 21,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,516.50 : 60,771.69 = 14,223 : x
  2. Step 2: Convert to fraction form
    40,516.50/60,771.69 = 14,223/x
  3. Step 3: Cross multiply
    40,516.50x = 60,771.69 × 14,223
  4. Step 4: Simplify right side
    40,516.50x = 864,355,746.87
  5. Step 5: Solve for x
    x = 864,355,746.87/40,516.50
  6. Step 6: Final answer
    x = 21,333.43

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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.