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Finding the Fourth Proportional to 30,892.24, 42,631.56 and 16,745.32

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Solution

The fourth proportional to 30,892.24, 42,631.56 and 16,745.32 is: 23,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.24 : 42,631.56 = 16,745.32 : x
  2. Step 2: Convert to fraction form
    30,892.24/42,631.56 = 16,745.32/x
  3. Step 3: Cross multiply
    30,892.24x = 42,631.56 × 16,745.32
  4. Step 4: Simplify right side
    30,892.24x = 713,879,114.30
  5. Step 5: Solve for x
    x = 713,879,114.30/30,892.24
  6. Step 6: Final answer
    x = 23,108.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.