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Finding the Fourth Proportional to 30,197.01, 41,667.42 and 16,768.38

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Solution

The fourth proportional to 30,197.01, 41,667.42 and 16,768.38 is: 23,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.01 : 41,667.42 = 16,768.38 : x
  2. Step 2: Convert to fraction form
    30,197.01/41,667.42 = 16,768.38/x
  3. Step 3: Cross multiply
    30,197.01x = 41,667.42 × 16,768.38
  4. Step 4: Simplify right side
    30,197.01x = 698,695,132.18
  5. Step 5: Solve for x
    x = 698,695,132.18/30,197.01
  6. Step 6: Final answer
    x = 23,137.89

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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.