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Finding the Fourth Proportional to 36,234.14, 54,304.40 and 16,229

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Solution

The fourth proportional to 36,234.14, 54,304.40 and 16,229 is: 24,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,234.14 : 54,304.40 = 16,229 : x
  2. Step 2: Convert to fraction form
    36,234.14/54,304.40 = 16,229/x
  3. Step 3: Cross multiply
    36,234.14x = 54,304.40 × 16,229
  4. Step 4: Simplify right side
    36,234.14x = 881,306,107.60
  5. Step 5: Solve for x
    x = 881,306,107.60/36,234.14
  6. Step 6: Final answer
    x = 24,322.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.