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Finding the Fourth Proportional to 30,196.40, 41,671.77 and 16,767

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Solution

The fourth proportional to 30,196.40, 41,671.77 and 16,767 is: 23,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196.40 : 41,671.77 = 16,767 : x
  2. Step 2: Convert to fraction form
    30,196.40/41,671.77 = 16,767/x
  3. Step 3: Cross multiply
    30,196.40x = 41,671.77 × 16,767
  4. Step 4: Simplify right side
    30,196.40x = 698,710,504.71
  5. Step 5: Solve for x
    x = 698,710,504.71/30,196.40
  6. Step 6: Final answer
    x = 23,138.87

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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.