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Finding the Fourth Proportional to 29,556.38, 40,782.21 and 17,620.83

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Solution

The fourth proportional to 29,556.38, 40,782.21 and 17,620.83 is: 24,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,556.38 : 40,782.21 = 17,620.83 : x
  2. Step 2: Convert to fraction form
    29,556.38/40,782.21 = 17,620.83/x
  3. Step 3: Cross multiply
    29,556.38x = 40,782.21 × 17,620.83
  4. Step 4: Simplify right side
    29,556.38x = 718,616,389.43
  5. Step 5: Solve for x
    x = 718,616,389.43/29,556.38
  6. Step 6: Final answer
    x = 24,313.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.