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Finding the Fourth Proportional to 49,010.78, 73,516.50 and 12,074.78

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Solution

The fourth proportional to 49,010.78, 73,516.50 and 12,074.78 is: 18,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,010.78 : 73,516.50 = 12,074.78 : x
  2. Step 2: Convert to fraction form
    49,010.78/73,516.50 = 12,074.78/x
  3. Step 3: Cross multiply
    49,010.78x = 73,516.50 × 12,074.78
  4. Step 4: Simplify right side
    49,010.78x = 887,695,563.87
  5. Step 5: Solve for x
    x = 887,695,563.87/49,010.78
  6. Step 6: Final answer
    x = 18,112.25

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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.