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Finding the Fourth Proportional to 49,171.50, 73,757.52 and 12,235.50

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Solution

The fourth proportional to 49,171.50, 73,757.52 and 12,235.50 is: 18,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,171.50 : 73,757.52 = 12,235.50 : x
  2. Step 2: Convert to fraction form
    49,171.50/73,757.52 = 12,235.50/x
  3. Step 3: Cross multiply
    49,171.50x = 73,757.52 × 12,235.50
  4. Step 4: Simplify right side
    49,171.50x = 902,460,135.96
  5. Step 5: Solve for x
    x = 902,460,135.96/49,171.50
  6. Step 6: Final answer
    x = 18,353.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.