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Finding the Fourth Proportional to 76,000.20, 104,812.14 and 49,114.54

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Solution

The fourth proportional to 76,000.20, 104,812.14 and 49,114.54 is: 67,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000.20 : 104,812.14 = 49,114.54 : x
  2. Step 2: Convert to fraction form
    76,000.20/104,812.14 = 49,114.54/x
  3. Step 3: Cross multiply
    76,000.20x = 104,812.14 × 49,114.54
  4. Step 4: Simplify right side
    76,000.20x = 5,147,800,042.52
  5. Step 5: Solve for x
    x = 5,147,800,042.52/76,000.20
  6. Step 6: Final answer
    x = 67,734.03

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