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Finding the Fourth Proportional to 29,950.14, 41,330.97 and 16,521.42

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Solution

The fourth proportional to 29,950.14, 41,330.97 and 16,521.42 is: 22,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,950.14 : 41,330.97 = 16,521.42 : x
  2. Step 2: Convert to fraction form
    29,950.14/41,330.97 = 16,521.42/x
  3. Step 3: Cross multiply
    29,950.14x = 41,330.97 × 16,521.42
  4. Step 4: Simplify right side
    29,950.14x = 682,846,314.38
  5. Step 5: Solve for x
    x = 682,846,314.38/29,950.14
  6. Step 6: Final answer
    x = 22,799.44

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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.