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Finding the Fourth Proportional to 29,240.43, 43,863.41 and 8,180.47

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Solution

The fourth proportional to 29,240.43, 43,863.41 and 8,180.47 is: 12,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,240.43 : 43,863.41 = 8,180.47 : x
  2. Step 2: Convert to fraction form
    29,240.43/43,863.41 = 8,180.47/x
  3. Step 3: Cross multiply
    29,240.43x = 43,863.41 × 8,180.47
  4. Step 4: Simplify right side
    29,240.43x = 358,823,309.60
  5. Step 5: Solve for x
    x = 358,823,309.60/29,240.43
  6. Step 6: Final answer
    x = 12,271.48

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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.