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Finding the Fourth Proportional to 30,171, 41,636.46 and 16,923

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Solution

The fourth proportional to 30,171, 41,636.46 and 16,923 is: 23,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,171 : 41,636.46 = 16,923 : x
  2. Step 2: Convert to fraction form
    30,171/41,636.46 = 16,923/x
  3. Step 3: Cross multiply
    30,171x = 41,636.46 × 16,923
  4. Step 4: Simplify right side
    30,171x = 704,613,812.58
  5. Step 5: Solve for x
    x = 704,613,812.58/30,171
  6. Step 6: Final answer
    x = 23,354.01

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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.