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Finding the Fourth Proportional to 50,730.80, 76,096.20 and 13,794.80

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Solution

The fourth proportional to 50,730.80, 76,096.20 and 13,794.80 is: 20,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,730.80 : 76,096.20 = 13,794.80 : x
  2. Step 2: Convert to fraction form
    50,730.80/76,096.20 = 13,794.80/x
  3. Step 3: Cross multiply
    50,730.80x = 76,096.20 × 13,794.80
  4. Step 4: Simplify right side
    50,730.80x = 1,049,731,859.76
  5. Step 5: Solve for x
    x = 1,049,731,859.76/50,730.80
  6. Step 6: Final answer
    x = 20,692.20

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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.