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Finding the Fourth Proportional to 82,183.32, 123,201.27 and 29,556

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Solution

The fourth proportional to 82,183.32, 123,201.27 and 29,556 is: 44,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,183.32 : 123,201.27 = 29,556 : x
  2. Step 2: Convert to fraction form
    82,183.32/123,201.27 = 29,556/x
  3. Step 3: Cross multiply
    82,183.32x = 123,201.27 × 29,556
  4. Step 4: Simplify right side
    82,183.32x = 3,641,336,736.12
  5. Step 5: Solve for x
    x = 3,641,336,736.12/82,183.32
  6. Step 6: Final answer
    x = 44,307.49

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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.