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Finding the Fourth Proportional to 43,676.38, 65,512.24 and 14,094.24

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Solution

The fourth proportional to 43,676.38, 65,512.24 and 14,094.24 is: 21,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,676.38 : 65,512.24 = 14,094.24 : x
  2. Step 2: Convert to fraction form
    43,676.38/65,512.24 = 14,094.24/x
  3. Step 3: Cross multiply
    43,676.38x = 65,512.24 × 14,094.24
  4. Step 4: Simplify right side
    43,676.38x = 923,345,233.50
  5. Step 5: Solve for x
    x = 923,345,233.50/43,676.38
  6. Step 6: Final answer
    x = 21,140.61

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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.