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Finding the Fourth Proportional to 35,135.45, 48,481.25 and 20,028.14

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Solution

The fourth proportional to 35,135.45, 48,481.25 and 20,028.14 is: 27,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,135.45 : 48,481.25 = 20,028.14 : x
  2. Step 2: Convert to fraction form
    35,135.45/48,481.25 = 20,028.14/x
  3. Step 3: Cross multiply
    35,135.45x = 48,481.25 × 20,028.14
  4. Step 4: Simplify right side
    35,135.45x = 970,989,262.38
  5. Step 5: Solve for x
    x = 970,989,262.38/35,135.45
  6. Step 6: Final answer
    x = 27,635.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.