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Finding the Fourth Proportional to 41,440, 62,169.84 and 13,738

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Solution

The fourth proportional to 41,440, 62,169.84 and 13,738 is: 20,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,440 : 62,169.84 = 13,738 : x
  2. Step 2: Convert to fraction form
    41,440/62,169.84 = 13,738/x
  3. Step 3: Cross multiply
    41,440x = 62,169.84 × 13,738
  4. Step 4: Simplify right side
    41,440x = 854,089,261.92
  5. Step 5: Solve for x
    x = 854,089,261.92/41,440
  6. Step 6: Final answer
    x = 20,610.26

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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.