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Finding the Fourth Proportional to 57,390, 86,220.24 and 33,758.08

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Solution

The fourth proportional to 57,390, 86,220.24 and 33,758.08 is: 50,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,390 : 86,220.24 = 33,758.08 : x
  2. Step 2: Convert to fraction form
    57,390/86,220.24 = 33,758.08/x
  3. Step 3: Cross multiply
    57,390x = 86,220.24 × 33,758.08
  4. Step 4: Simplify right side
    57,390x = 2,910,629,759.54
  5. Step 5: Solve for x
    x = 2,910,629,759.54/57,390
  6. Step 6: Final answer
    x = 50,716.67

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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.