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Finding the Fourth Proportional to 82,912.56, 114,422.42 and 47,108.64

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Solution

The fourth proportional to 82,912.56, 114,422.42 and 47,108.64 is: 65,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.56 : 114,422.42 = 47,108.64 : x
  2. Step 2: Convert to fraction form
    82,912.56/114,422.42 = 47,108.64/x
  3. Step 3: Cross multiply
    82,912.56x = 114,422.42 × 47,108.64
  4. Step 4: Simplify right side
    82,912.56x = 5,390,284,494.94
  5. Step 5: Solve for x
    x = 5,390,284,494.94/82,912.56
  6. Step 6: Final answer
    x = 65,011.67

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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.