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Finding the Fourth Proportional to 80,846.40, 111,576.24 and 45,042.24

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Solution

The fourth proportional to 80,846.40, 111,576.24 and 45,042.24 is: 62,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,846.40 : 111,576.24 = 45,042.24 : x
  2. Step 2: Convert to fraction form
    80,846.40/111,576.24 = 45,042.24/x
  3. Step 3: Cross multiply
    80,846.40x = 111,576.24 × 45,042.24
  4. Step 4: Simplify right side
    80,846.40x = 5,025,643,780.38
  5. Step 5: Solve for x
    x = 5,025,643,780.38/80,846.40
  6. Step 6: Final answer
    x = 62,162.86

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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.