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Finding the Fourth Proportional to 82,568.56, 123,852.84 and 33,286

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Solution

The fourth proportional to 82,568.56, 123,852.84 and 33,286 is: 49,929

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,568.56 : 123,852.84 = 33,286 : x
  2. Step 2: Convert to fraction form
    82,568.56/123,852.84 = 33,286/x
  3. Step 3: Cross multiply
    82,568.56x = 123,852.84 × 33,286
  4. Step 4: Simplify right side
    82,568.56x = 4,122,565,632.24
  5. Step 5: Solve for x
    x = 4,122,565,632.24/82,568.56
  6. Step 6: Final answer
    x = 49,929

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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.