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Finding the Fourth Proportional to 29,906.70, 41,271.38 and 16,477.31

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Solution

The fourth proportional to 29,906.70, 41,271.38 and 16,477.31 is: 22,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906.70 : 41,271.38 = 16,477.31 : x
  2. Step 2: Convert to fraction form
    29,906.70/41,271.38 = 16,477.31/x
  3. Step 3: Cross multiply
    29,906.70x = 41,271.38 × 16,477.31
  4. Step 4: Simplify right side
    29,906.70x = 680,041,033.64
  5. Step 5: Solve for x
    x = 680,041,033.64/29,906.70
  6. Step 6: Final answer
    x = 22,738.75

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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.