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Finding the Fourth Proportional to 41,779, 62,671.74 and 14,077

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Solution

The fourth proportional to 41,779, 62,671.74 and 14,077 is: 21,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,779 : 62,671.74 = 14,077 : x
  2. Step 2: Convert to fraction form
    41,779/62,671.74 = 14,077/x
  3. Step 3: Cross multiply
    41,779x = 62,671.74 × 14,077
  4. Step 4: Simplify right side
    41,779x = 882,230,083.98
  5. Step 5: Solve for x
    x = 882,230,083.98/41,779
  6. Step 6: Final answer
    x = 21,116.59

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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.