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Finding the Fourth Proportional to 39,812.20, 54,930.90 and 25,648

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Solution

The fourth proportional to 39,812.20, 54,930.90 and 25,648 is: 35,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,812.20 : 54,930.90 = 25,648 : x
  2. Step 2: Convert to fraction form
    39,812.20/54,930.90 = 25,648/x
  3. Step 3: Cross multiply
    39,812.20x = 54,930.90 × 25,648
  4. Step 4: Simplify right side
    39,812.20x = 1,408,867,723.20
  5. Step 5: Solve for x
    x = 1,408,867,723.20/39,812.20
  6. Step 6: Final answer
    x = 35,387.84

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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.