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Finding the Fourth Proportional to 29,682.60, 40,949.22 and 17,099.88

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Solution

The fourth proportional to 29,682.60, 40,949.22 and 17,099.88 is: 23,590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.60 : 40,949.22 = 17,099.88 : x
  2. Step 2: Convert to fraction form
    29,682.60/40,949.22 = 17,099.88/x
  3. Step 3: Cross multiply
    29,682.60x = 40,949.22 × 17,099.88
  4. Step 4: Simplify right side
    29,682.60x = 700,226,748.09
  5. Step 5: Solve for x
    x = 700,226,748.09/29,682.60
  6. Step 6: Final answer
    x = 23,590.48

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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.