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Finding the Fourth Proportional to 82,783.26, 114,240.88 and 45,057.78

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Solution

The fourth proportional to 82,783.26, 114,240.88 and 45,057.78 is: 62,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,783.26 : 114,240.88 = 45,057.78 : x
  2. Step 2: Convert to fraction form
    82,783.26/114,240.88 = 45,057.78/x
  3. Step 3: Cross multiply
    82,783.26x = 114,240.88 × 45,057.78
  4. Step 4: Simplify right side
    82,783.26x = 5,147,440,438.05
  5. Step 5: Solve for x
    x = 5,147,440,438.05/82,783.26
  6. Step 6: Final answer
    x = 62,179.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.