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Finding the Fourth Proportional to 30,992.96, 42,771.36 and 16,846.88

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Solution

The fourth proportional to 30,992.96, 42,771.36 and 16,846.88 is: 23,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.96 : 42,771.36 = 16,846.88 : x
  2. Step 2: Convert to fraction form
    30,992.96/42,771.36 = 16,846.88/x
  3. Step 3: Cross multiply
    30,992.96x = 42,771.36 × 16,846.88
  4. Step 4: Simplify right side
    30,992.96x = 720,563,969.36
  5. Step 5: Solve for x
    x = 720,563,969.36/30,992.96
  6. Step 6: Final answer
    x = 23,249.28

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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.