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Finding the Fourth Proportional to 37,284, 51,452.28 and 20,517.36

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Solution

The fourth proportional to 37,284, 51,452.28 and 20,517.36 is: 28,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,284 : 51,452.28 = 20,517.36 : x
  2. Step 2: Convert to fraction form
    37,284/51,452.28 = 20,517.36/x
  3. Step 3: Cross multiply
    37,284x = 51,452.28 × 20,517.36
  4. Step 4: Simplify right side
    37,284x = 1,055,664,951.58
  5. Step 5: Solve for x
    x = 1,055,664,951.58/37,284
  6. Step 6: Final answer
    x = 28,314.15

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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.