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Finding the Fourth Proportional to 30,348.26, 41,880.45 and 16,919.38

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Solution

The fourth proportional to 30,348.26, 41,880.45 and 16,919.38 is: 23,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,348.26 : 41,880.45 = 16,919.38 : x
  2. Step 2: Convert to fraction form
    30,348.26/41,880.45 = 16,919.38/x
  3. Step 3: Cross multiply
    30,348.26x = 41,880.45 × 16,919.38
  4. Step 4: Simplify right side
    30,348.26x = 708,591,248.12
  5. Step 5: Solve for x
    x = 708,591,248.12/30,348.26
  6. Step 6: Final answer
    x = 23,348.66

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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.