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Finding the Fourth Proportional to 51,230.48, 76,857.06 and 20,066

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Solution

The fourth proportional to 51,230.48, 76,857.06 and 20,066 is: 30,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,230.48 : 76,857.06 = 20,066 : x
  2. Step 2: Convert to fraction form
    51,230.48/76,857.06 = 20,066/x
  3. Step 3: Cross multiply
    51,230.48x = 76,857.06 × 20,066
  4. Step 4: Simplify right side
    51,230.48x = 1,542,213,765.96
  5. Step 5: Solve for x
    x = 1,542,213,765.96/51,230.48
  6. Step 6: Final answer
    x = 30,103.44

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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.