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Finding the Fourth Proportional to 82,369.78, 123,446.67 and 46,847.43

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Solution

The fourth proportional to 82,369.78, 123,446.67 and 46,847.43 is: 70,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,369.78 : 123,446.67 = 46,847.43 : x
  2. Step 2: Convert to fraction form
    82,369.78/123,446.67 = 46,847.43/x
  3. Step 3: Cross multiply
    82,369.78x = 123,446.67 × 46,847.43
  4. Step 4: Simplify right side
    82,369.78x = 5,783,159,231.56
  5. Step 5: Solve for x
    x = 5,783,159,231.56/82,369.78
  6. Step 6: Final answer
    x = 70,209.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.