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Finding the Fourth Proportional to 31,096.95, 46,659.09 and 11,378.45

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Solution

The fourth proportional to 31,096.95, 46,659.09 and 11,378.45 is: 17,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.95 : 46,659.09 = 11,378.45 : x
  2. Step 2: Convert to fraction form
    31,096.95/46,659.09 = 11,378.45/x
  3. Step 3: Cross multiply
    31,096.95x = 46,659.09 × 11,378.45
  4. Step 4: Simplify right side
    31,096.95x = 530,907,889.32
  5. Step 5: Solve for x
    x = 530,907,889.32/31,096.95
  6. Step 6: Final answer
    x = 17,072.67

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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.