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Finding the Fourth Proportional to 41,576.40, 62,422.20 and 32,821.20

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Solution

The fourth proportional to 41,576.40, 62,422.20 and 32,821.20 is: 49,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,576.40 : 62,422.20 = 32,821.20 : x
  2. Step 2: Convert to fraction form
    41,576.40/62,422.20 = 32,821.20/x
  3. Step 3: Cross multiply
    41,576.40x = 62,422.20 × 32,821.20
  4. Step 4: Simplify right side
    41,576.40x = 2,048,771,510.64
  5. Step 5: Solve for x
    x = 2,048,771,510.64/41,576.40
  6. Step 6: Final answer
    x = 49,277.27

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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.