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Finding the Fourth Proportional to 30,881.44, 42,616.38 and 16,734.34

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Solution

The fourth proportional to 30,881.44, 42,616.38 and 16,734.34 is: 23,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.44 : 42,616.38 = 16,734.34 : x
  2. Step 2: Convert to fraction form
    30,881.44/42,616.38 = 16,734.34/x
  3. Step 3: Cross multiply
    30,881.44x = 42,616.38 × 16,734.34
  4. Step 4: Simplify right side
    30,881.44x = 713,156,992.49
  5. Step 5: Solve for x
    x = 713,156,992.49/30,881.44
  6. Step 6: Final answer
    x = 23,093.39

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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.