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Finding the Fourth Proportional to 103,682.68, 155,548.70 and 33,562

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Solution

The fourth proportional to 103,682.68, 155,548.70 and 33,562 is: 50,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682.68 : 155,548.70 = 33,562 : x
  2. Step 2: Convert to fraction form
    103,682.68/155,548.70 = 33,562/x
  3. Step 3: Cross multiply
    103,682.68x = 155,548.70 × 33,562
  4. Step 4: Simplify right side
    103,682.68x = 5,220,525,469.40
  5. Step 5: Solve for x
    x = 5,220,525,469.40/103,682.68
  6. Step 6: Final answer
    x = 50,350.99

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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.