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Finding the Fourth Proportional to 34,141.26, 51,211.80 and 9,181.30

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Solution

The fourth proportional to 34,141.26, 51,211.80 and 9,181.30 is: 13,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.26 : 51,211.80 = 9,181.30 : x
  2. Step 2: Convert to fraction form
    34,141.26/51,211.80 = 9,181.30/x
  3. Step 3: Cross multiply
    34,141.26x = 51,211.80 × 9,181.30
  4. Step 4: Simplify right side
    34,141.26x = 470,190,899.34
  5. Step 5: Solve for x
    x = 470,190,899.34/34,141.26
  6. Step 6: Final answer
    x = 13,771.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.