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Finding the Fourth Proportional to 82,481.72, 123,720.41 and 26,325.25

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Solution

The fourth proportional to 82,481.72, 123,720.41 and 26,325.25 is: 39,487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481.72 : 123,720.41 = 26,325.25 : x
  2. Step 2: Convert to fraction form
    82,481.72/123,720.41 = 26,325.25/x
  3. Step 3: Cross multiply
    82,481.72x = 123,720.41 × 26,325.25
  4. Step 4: Simplify right side
    82,481.72x = 3,256,971,175.79
  5. Step 5: Solve for x
    x = 3,256,971,175.79/82,481.72
  6. Step 6: Final answer
    x = 39,487.19

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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.