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Finding the Fourth Proportional to 31,057.80, 46,586.70 and 21,078.60

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Solution

The fourth proportional to 31,057.80, 46,586.70 and 21,078.60 is: 31,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.80 : 46,586.70 = 21,078.60 : x
  2. Step 2: Convert to fraction form
    31,057.80/46,586.70 = 21,078.60/x
  3. Step 3: Cross multiply
    31,057.80x = 46,586.70 × 21,078.60
  4. Step 4: Simplify right side
    31,057.80x = 981,982,414.62
  5. Step 5: Solve for x
    x = 981,982,414.62/31,057.80
  6. Step 6: Final answer
    x = 31,617.90

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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.