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Finding the Fourth Proportional to 29,779.82, 41,096.19 and 17,204.57

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Solution

The fourth proportional to 29,779.82, 41,096.19 and 17,204.57 is: 23,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,779.82 : 41,096.19 = 17,204.57 : x
  2. Step 2: Convert to fraction form
    29,779.82/41,096.19 = 17,204.57/x
  3. Step 3: Cross multiply
    29,779.82x = 41,096.19 × 17,204.57
  4. Step 4: Simplify right side
    29,779.82x = 707,042,072.11
  5. Step 5: Solve for x
    x = 707,042,072.11/29,779.82
  6. Step 6: Final answer
    x = 23,742.33

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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.