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Finding the Fourth Proportional to 36,049.56, 54,074.70 and 9,754.56

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Solution

The fourth proportional to 36,049.56, 54,074.70 and 9,754.56 is: 14,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,049.56 : 54,074.70 = 9,754.56 : x
  2. Step 2: Convert to fraction form
    36,049.56/54,074.70 = 9,754.56/x
  3. Step 3: Cross multiply
    36,049.56x = 54,074.70 × 9,754.56
  4. Step 4: Simplify right side
    36,049.56x = 527,474,905.63
  5. Step 5: Solve for x
    x = 527,474,905.63/36,049.56
  6. Step 6: Final answer
    x = 14,631.94

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Why These Related Problems?

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