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Finding the Fourth Proportional to 49,077, 73,613.88 and 15,798.96

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Solution

The fourth proportional to 49,077, 73,613.88 and 15,798.96 is: 23,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,077 : 73,613.88 = 15,798.96 : x
  2. Step 2: Convert to fraction form
    49,077/73,613.88 = 15,798.96/x
  3. Step 3: Cross multiply
    49,077x = 73,613.88 × 15,798.96
  4. Step 4: Simplify right side
    49,077x = 1,163,022,745.56
  5. Step 5: Solve for x
    x = 1,163,022,745.56/49,077
  6. Step 6: Final answer
    x = 23,697.92

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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.