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Finding the Fourth Proportional to 51,241.92, 76,763.44 and 33,658.40

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Solution

The fourth proportional to 51,241.92, 76,763.44 and 33,658.40 is: 50,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,241.92 : 76,763.44 = 33,658.40 : x
  2. Step 2: Convert to fraction form
    51,241.92/76,763.44 = 33,658.40/x
  3. Step 3: Cross multiply
    51,241.92x = 76,763.44 × 33,658.40
  4. Step 4: Simplify right side
    51,241.92x = 2,583,734,568.90
  5. Step 5: Solve for x
    x = 2,583,734,568.90/51,241.92
  6. Step 6: Final answer
    x = 50,422.28

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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.