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Finding the Fourth Proportional to 29,754.50, 44,631.76 and 11,286.50

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Solution

The fourth proportional to 29,754.50, 44,631.76 and 11,286.50 is: 16,929.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754.50 : 44,631.76 = 11,286.50 : x
  2. Step 2: Convert to fraction form
    29,754.50/44,631.76 = 11,286.50/x
  3. Step 3: Cross multiply
    29,754.50x = 44,631.76 × 11,286.50
  4. Step 4: Simplify right side
    29,754.50x = 503,736,359.24
  5. Step 5: Solve for x
    x = 503,736,359.24/29,754.50
  6. Step 6: Final answer
    x = 16,929.75

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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.