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Finding the Fourth Proportional to 30,197.71, 41,671.44 and 16,769.82

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Solution

The fourth proportional to 30,197.71, 41,671.44 and 16,769.82 is: 23,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.71 : 41,671.44 = 16,769.82 : x
  2. Step 2: Convert to fraction form
    30,197.71/41,671.44 = 16,769.82/x
  3. Step 3: Cross multiply
    30,197.71x = 41,671.44 × 16,769.82
  4. Step 4: Simplify right side
    30,197.71x = 698,822,339.58
  5. Step 5: Solve for x
    x = 698,822,339.58/30,197.71
  6. Step 6: Final answer
    x = 23,141.57

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1.5x scale

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.