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Finding the Fourth Proportional to 51,195.76, 76,782.12 and 18,363.76

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Solution

The fourth proportional to 51,195.76, 76,782.12 and 18,363.76 is: 27,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,195.76 : 76,782.12 = 18,363.76 : x
  2. Step 2: Convert to fraction form
    51,195.76/76,782.12 = 18,363.76/x
  3. Step 3: Cross multiply
    51,195.76x = 76,782.12 × 18,363.76
  4. Step 4: Simplify right side
    51,195.76x = 1,410,008,423.97
  5. Step 5: Solve for x
    x = 1,410,008,423.97/51,195.76
  6. Step 6: Final answer
    x = 27,541.51

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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.