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Finding the Fourth Proportional to 52,135.28, 78,327.54 and 33,452

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Solution

The fourth proportional to 52,135.28, 78,327.54 and 33,452 is: 50,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,135.28 : 78,327.54 = 33,452 : x
  2. Step 2: Convert to fraction form
    52,135.28/78,327.54 = 33,452/x
  3. Step 3: Cross multiply
    52,135.28x = 78,327.54 × 33,452
  4. Step 4: Simplify right side
    52,135.28x = 2,620,212,868.08
  5. Step 5: Solve for x
    x = 2,620,212,868.08/52,135.28
  6. Step 6: Final answer
    x = 50,257.96

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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.