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Finding the Fourth Proportional to 103,819.50, 155,755.26 and 29,947.50

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Solution

The fourth proportional to 103,819.50, 155,755.26 and 29,947.50 is: 44,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,819.50 : 155,755.26 = 29,947.50 : x
  2. Step 2: Convert to fraction form
    103,819.50/155,755.26 = 29,947.50/x
  3. Step 3: Cross multiply
    103,819.50x = 155,755.26 × 29,947.50
  4. Step 4: Simplify right side
    103,819.50x = 4,664,480,648.85
  5. Step 5: Solve for x
    x = 4,664,480,648.85/103,819.50
  6. Step 6: Final answer
    x = 44,928.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.