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Finding the Fourth Proportional to 41,677, 62,515.50 and 12,493

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Solution

The fourth proportional to 41,677, 62,515.50 and 12,493 is: 18,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,677 : 62,515.50 = 12,493 : x
  2. Step 2: Convert to fraction form
    41,677/62,515.50 = 12,493/x
  3. Step 3: Cross multiply
    41,677x = 62,515.50 × 12,493
  4. Step 4: Simplify right side
    41,677x = 781,006,141.50
  5. Step 5: Solve for x
    x = 781,006,141.50/41,677
  6. Step 6: Final answer
    x = 18,739.50

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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.