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Finding the Fourth Proportional to 49,045, 73,567.74 and 12,109

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Solution

The fourth proportional to 49,045, 73,567.74 and 12,109 is: 18,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,045 : 73,567.74 = 12,109 : x
  2. Step 2: Convert to fraction form
    49,045/73,567.74 = 12,109/x
  3. Step 3: Cross multiply
    49,045x = 73,567.74 × 12,109
  4. Step 4: Simplify right side
    49,045x = 890,831,763.66
  5. Step 5: Solve for x
    x = 890,831,763.66/49,045
  6. Step 6: Final answer
    x = 18,163.56

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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.