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Finding the Fourth Proportional to 34,147.46, 51,185.96 and 13,081.74

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Solution

The fourth proportional to 34,147.46, 51,185.96 and 13,081.74 is: 19,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,147.46 : 51,185.96 = 13,081.74 : x
  2. Step 2: Convert to fraction form
    34,147.46/51,185.96 = 13,081.74/x
  3. Step 3: Cross multiply
    34,147.46x = 51,185.96 × 13,081.74
  4. Step 4: Simplify right side
    34,147.46x = 669,601,420.37
  5. Step 5: Solve for x
    x = 669,601,420.37/34,147.46
  6. Step 6: Final answer
    x = 19,609.11

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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.