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Finding the Fourth Proportional to 30,892.54, 42,631.66 and 16,745.38

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Solution

The fourth proportional to 30,892.54, 42,631.66 and 16,745.38 is: 23,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.54 : 42,631.66 = 16,745.38 : x
  2. Step 2: Convert to fraction form
    30,892.54/42,631.66 = 16,745.38/x
  3. Step 3: Cross multiply
    30,892.54x = 42,631.66 × 16,745.38
  4. Step 4: Simplify right side
    30,892.54x = 713,883,049.85
  5. Step 5: Solve for x
    x = 713,883,049.85/30,892.54
  6. Step 6: Final answer
    x = 23,108.59

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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.