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Finding the Fourth Proportional to 51,729.60, 71,384.96 and 31,620.16

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Solution

The fourth proportional to 51,729.60, 71,384.96 and 31,620.16 is: 43,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,729.60 : 71,384.96 = 31,620.16 : x
  2. Step 2: Convert to fraction form
    51,729.60/71,384.96 = 31,620.16/x
  3. Step 3: Cross multiply
    51,729.60x = 71,384.96 × 31,620.16
  4. Step 4: Simplify right side
    51,729.60x = 2,257,203,856.79
  5. Step 5: Solve for x
    x = 2,257,203,856.79/51,729.60
  6. Step 6: Final answer
    x = 43,634.67

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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.