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Finding the Fourth Proportional to 41,576.47, 62,207.49 and 25,508.64

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Solution

The fourth proportional to 41,576.47, 62,207.49 and 25,508.64 is: 38,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,576.47 : 62,207.49 = 25,508.64 : x
  2. Step 2: Convert to fraction form
    41,576.47/62,207.49 = 25,508.64/x
  3. Step 3: Cross multiply
    41,576.47x = 62,207.49 × 25,508.64
  4. Step 4: Simplify right side
    41,576.47x = 1,586,828,467.71
  5. Step 5: Solve for x
    x = 1,586,828,467.71/41,576.47
  6. Step 6: Final answer
    x = 38,166.50

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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.