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Finding the Fourth Proportional to 29,856, 41,201.44 and 16,608

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Solution

The fourth proportional to 29,856, 41,201.44 and 16,608 is: 22,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856 : 41,201.44 = 16,608 : x
  2. Step 2: Convert to fraction form
    29,856/41,201.44 = 16,608/x
  3. Step 3: Cross multiply
    29,856x = 41,201.44 × 16,608
  4. Step 4: Simplify right side
    29,856x = 684,273,515.52
  5. Step 5: Solve for x
    x = 684,273,515.52/29,856
  6. Step 6: Final answer
    x = 22,919.13

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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.