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Finding the Fourth Proportional to 29,544, 40,770.72 and 16,296

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Solution

The fourth proportional to 29,544, 40,770.72 and 16,296 is: 22,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,544 : 40,770.72 = 16,296 : x
  2. Step 2: Convert to fraction form
    29,544/40,770.72 = 16,296/x
  3. Step 3: Cross multiply
    29,544x = 40,770.72 × 16,296
  4. Step 4: Simplify right side
    29,544x = 664,399,653.12
  5. Step 5: Solve for x
    x = 664,399,653.12/29,544
  6. Step 6: Final answer
    x = 22,488.48

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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.