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Finding the Fourth Proportional to 100,970.89, 151,474.33 and 33,506.98

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Solution

The fourth proportional to 100,970.89, 151,474.33 and 33,506.98 is: 50,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,970.89 : 151,474.33 = 33,506.98 : x
  2. Step 2: Convert to fraction form
    100,970.89/151,474.33 = 33,506.98/x
  3. Step 3: Cross multiply
    100,970.89x = 151,474.33 × 33,506.98
  4. Step 4: Simplify right side
    100,970.89x = 5,075,446,504.68
  5. Step 5: Solve for x
    x = 5,075,446,504.68/100,970.89
  6. Step 6: Final answer
    x = 50,266.44

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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.