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Finding the Fourth Proportional to 29,480.49, 44,211.61 and 9,754.96

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Solution

The fourth proportional to 29,480.49, 44,211.61 and 9,754.96 is: 14,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,480.49 : 44,211.61 = 9,754.96 : x
  2. Step 2: Convert to fraction form
    29,480.49/44,211.61 = 9,754.96/x
  3. Step 3: Cross multiply
    29,480.49x = 44,211.61 × 9,754.96
  4. Step 4: Simplify right side
    29,480.49x = 431,282,487.09
  5. Step 5: Solve for x
    x = 431,282,487.09/29,480.49
  6. Step 6: Final answer
    x = 14,629.42

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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.