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Finding the Fourth Proportional to 75,706.23, 113,563.60 and 33,576.41

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Solution

The fourth proportional to 75,706.23, 113,563.60 and 33,576.41 is: 50,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,706.23 : 113,563.60 = 33,576.41 : x
  2. Step 2: Convert to fraction form
    75,706.23/113,563.60 = 33,576.41/x
  3. Step 3: Cross multiply
    75,706.23x = 113,563.60 × 33,576.41
  4. Step 4: Simplify right side
    75,706.23x = 3,813,057,994.68
  5. Step 5: Solve for x
    x = 3,813,057,994.68/75,706.23
  6. Step 6: Final answer
    x = 50,366.50

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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.