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Finding the Fourth Proportional to 51,900.49, 77,838.78 and 20,311.30

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Solution

The fourth proportional to 51,900.49, 77,838.78 and 20,311.30 is: 30,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,900.49 : 77,838.78 = 20,311.30 : x
  2. Step 2: Convert to fraction form
    51,900.49/77,838.78 = 20,311.30/x
  3. Step 3: Cross multiply
    51,900.49x = 77,838.78 × 20,311.30
  4. Step 4: Simplify right side
    51,900.49x = 1,581,006,617.62
  5. Step 5: Solve for x
    x = 1,581,006,617.62/51,900.49
  6. Step 6: Final answer
    x = 30,462.27

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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.