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Finding the Fourth Proportional to 29,657.34, 40,930.92 and 17,082.09

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Solution

The fourth proportional to 29,657.34, 40,930.92 and 17,082.09 is: 23,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657.34 : 40,930.92 = 17,082.09 : x
  2. Step 2: Convert to fraction form
    29,657.34/40,930.92 = 17,082.09/x
  3. Step 3: Cross multiply
    29,657.34x = 40,930.92 × 17,082.09
  4. Step 4: Simplify right side
    29,657.34x = 699,185,659.22
  5. Step 5: Solve for x
    x = 699,185,659.22/29,657.34
  6. Step 6: Final answer
    x = 23,575.47

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