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Finding the Fourth Proportional to 30,989.46, 42,765.78 and 16,842.31

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Solution

The fourth proportional to 30,989.46, 42,765.78 and 16,842.31 is: 23,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.46 : 42,765.78 = 16,842.31 : x
  2. Step 2: Convert to fraction form
    30,989.46/42,765.78 = 16,842.31/x
  3. Step 3: Cross multiply
    30,989.46x = 42,765.78 × 16,842.31
  4. Step 4: Simplify right side
    30,989.46x = 720,274,524.15
  5. Step 5: Solve for x
    x = 720,274,524.15/30,989.46
  6. Step 6: Final answer
    x = 23,242.56

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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.