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Finding the Fourth Proportional to 49,164.86, 73,747.20 and 12,228.86

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Solution

The fourth proportional to 49,164.86, 73,747.20 and 12,228.86 is: 18,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,164.86 : 73,747.20 = 12,228.86 : x
  2. Step 2: Convert to fraction form
    49,164.86/73,747.20 = 12,228.86/x
  3. Step 3: Cross multiply
    49,164.86x = 73,747.20 × 12,228.86
  4. Step 4: Simplify right side
    49,164.86x = 901,844,184.19
  5. Step 5: Solve for x
    x = 901,844,184.19/49,164.86
  6. Step 6: Final answer
    x = 18,343.27

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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.