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Finding the Fourth Proportional to 41,684.52, 62,443.02 and 19,467.24

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Solution

The fourth proportional to 41,684.52, 62,443.02 and 19,467.24 is: 29,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,684.52 : 62,443.02 = 19,467.24 : x
  2. Step 2: Convert to fraction form
    41,684.52/62,443.02 = 19,467.24/x
  3. Step 3: Cross multiply
    41,684.52x = 62,443.02 × 19,467.24
  4. Step 4: Simplify right side
    41,684.52x = 1,215,593,256.66
  5. Step 5: Solve for x
    x = 1,215,593,256.66/41,684.52
  6. Step 6: Final answer
    x = 29,161.74

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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.