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Finding the Fourth Proportional to 82,794, 124,203.96 and 27,402.96

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Solution

The fourth proportional to 82,794, 124,203.96 and 27,402.96 is: 41,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,794 : 124,203.96 = 27,402.96 : x
  2. Step 2: Convert to fraction form
    82,794/124,203.96 = 27,402.96/x
  3. Step 3: Cross multiply
    82,794x = 124,203.96 × 27,402.96
  4. Step 4: Simplify right side
    82,794x = 3,403,556,147.72
  5. Step 5: Solve for x
    x = 3,403,556,147.72/82,794
  6. Step 6: Final answer
    x = 41,108.73

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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.