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Finding the Fourth Proportional to 38,678.40, 57,940.80 and 21,116.80

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Solution

The fourth proportional to 38,678.40, 57,940.80 and 21,116.80 is: 31,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,678.40 : 57,940.80 = 21,116.80 : x
  2. Step 2: Convert to fraction form
    38,678.40/57,940.80 = 21,116.80/x
  3. Step 3: Cross multiply
    38,678.40x = 57,940.80 × 21,116.80
  4. Step 4: Simplify right side
    38,678.40x = 1,223,524,285.44
  5. Step 5: Solve for x
    x = 1,223,524,285.44/38,678.40
  6. Step 6: Final answer
    x = 31,633.27

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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.