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Finding the Fourth Proportional to 30,067.76, 41,492.88 and 16,638.22

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Solution

The fourth proportional to 30,067.76, 41,492.88 and 16,638.22 is: 22,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,067.76 : 41,492.88 = 16,638.22 : x
  2. Step 2: Convert to fraction form
    30,067.76/41,492.88 = 16,638.22/x
  3. Step 3: Cross multiply
    30,067.76x = 41,492.88 × 16,638.22
  4. Step 4: Simplify right side
    30,067.76x = 690,367,562.14
  5. Step 5: Solve for x
    x = 690,367,562.14/30,067.76
  6. Step 6: Final answer
    x = 22,960.39

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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.