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Finding the Fourth Proportional to 39,770.40, 54,882.42 and 21,865.20

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Solution

The fourth proportional to 39,770.40, 54,882.42 and 21,865.20 is: 30,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,770.40 : 54,882.42 = 21,865.20 : x
  2. Step 2: Convert to fraction form
    39,770.40/54,882.42 = 21,865.20/x
  3. Step 3: Cross multiply
    39,770.40x = 54,882.42 × 21,865.20
  4. Step 4: Simplify right side
    39,770.40x = 1,200,015,089.78
  5. Step 5: Solve for x
    x = 1,200,015,089.78/39,770.40
  6. Step 6: Final answer
    x = 30,173.57

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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.