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Finding the Fourth Proportional to 32,414.20, 48,621.28 and 25,029.44

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Solution

The fourth proportional to 32,414.20, 48,621.28 and 25,029.44 is: 37,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.20 : 48,621.28 = 25,029.44 : x
  2. Step 2: Convert to fraction form
    32,414.20/48,621.28 = 25,029.44/x
  3. Step 3: Cross multiply
    32,414.20x = 48,621.28 × 25,029.44
  4. Step 4: Simplify right side
    32,414.20x = 1,216,963,410.48
  5. Step 5: Solve for x
    x = 1,216,963,410.48/32,414.20
  6. Step 6: Final answer
    x = 37,544.14

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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.