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Finding the Fourth Proportional to 82,467.46, 123,738.10 and 47,407.12

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Solution

The fourth proportional to 82,467.46, 123,738.10 and 47,407.12 is: 71,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,467.46 : 123,738.10 = 47,407.12 : x
  2. Step 2: Convert to fraction form
    82,467.46/123,738.10 = 47,407.12/x
  3. Step 3: Cross multiply
    82,467.46x = 123,738.10 × 47,407.12
  4. Step 4: Simplify right side
    82,467.46x = 5,866,066,099.55
  5. Step 5: Solve for x
    x = 5,866,066,099.55/82,467.46
  6. Step 6: Final answer
    x = 71,131.89

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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.