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Finding the Fourth Proportional to 30,193.13, 41,667.82 and 16,764.38

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Solution

The fourth proportional to 30,193.13, 41,667.82 and 16,764.38 is: 23,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193.13 : 41,667.82 = 16,764.38 : x
  2. Step 2: Convert to fraction form
    30,193.13/41,667.82 = 16,764.38/x
  3. Step 3: Cross multiply
    30,193.13x = 41,667.82 × 16,764.38
  4. Step 4: Simplify right side
    30,193.13x = 698,535,168.25
  5. Step 5: Solve for x
    x = 698,535,168.25/30,193.13
  6. Step 6: Final answer
    x = 23,135.57

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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.