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Finding the Fourth Proportional to 103,694.62, 155,509.05 and 33,557.50

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Solution

The fourth proportional to 103,694.62, 155,509.05 and 33,557.50 is: 50,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694.62 : 155,509.05 = 33,557.50 : x
  2. Step 2: Convert to fraction form
    103,694.62/155,509.05 = 33,557.50/x
  3. Step 3: Cross multiply
    103,694.62x = 155,509.05 × 33,557.50
  4. Step 4: Simplify right side
    103,694.62x = 5,218,494,945.38
  5. Step 5: Solve for x
    x = 5,218,494,945.38/103,694.62
  6. Step 6: Final answer
    x = 50,325.61

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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.