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Finding the Fourth Proportional to 82,576.28, 113,964.90 and 49,042.28

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Solution

The fourth proportional to 82,576.28, 113,964.90 and 49,042.28 is: 67,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,576.28 : 113,964.90 = 49,042.28 : x
  2. Step 2: Convert to fraction form
    82,576.28/113,964.90 = 49,042.28/x
  3. Step 3: Cross multiply
    82,576.28x = 113,964.90 × 49,042.28
  4. Step 4: Simplify right side
    82,576.28x = 5,589,098,535.97
  5. Step 5: Solve for x
    x = 5,589,098,535.97/82,576.28
  6. Step 6: Final answer
    x = 67,684.07

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1.5x scale

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.