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Finding the Fourth Proportional to 39,811.20, 54,929.52 and 25,647

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Solution

The fourth proportional to 39,811.20, 54,929.52 and 25,647 is: 35,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,811.20 : 54,929.52 = 25,647 : x
  2. Step 2: Convert to fraction form
    39,811.20/54,929.52 = 25,647/x
  3. Step 3: Cross multiply
    39,811.20x = 54,929.52 × 25,647
  4. Step 4: Simplify right side
    39,811.20x = 1,408,777,399.44
  5. Step 5: Solve for x
    x = 1,408,777,399.44/39,811.20
  6. Step 6: Final answer
    x = 35,386.46

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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.