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Finding the Fourth Proportional to 30,197.58, 41,671.27 and 16,769.69

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Solution

The fourth proportional to 30,197.58, 41,671.27 and 16,769.69 is: 23,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.58 : 41,671.27 = 16,769.69 : x
  2. Step 2: Convert to fraction form
    30,197.58/41,671.27 = 16,769.69/x
  3. Step 3: Cross multiply
    30,197.58x = 41,671.27 × 16,769.69
  4. Step 4: Simplify right side
    30,197.58x = 698,813,987.60
  5. Step 5: Solve for x
    x = 698,813,987.60/30,197.58
  6. Step 6: Final answer
    x = 23,141.39

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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.