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Finding the Fourth Proportional to 29,246.84, 43,869.20 and 9,524.88

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Solution

The fourth proportional to 29,246.84, 43,869.20 and 9,524.88 is: 14,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,246.84 : 43,869.20 = 9,524.88 : x
  2. Step 2: Convert to fraction form
    29,246.84/43,869.20 = 9,524.88/x
  3. Step 3: Cross multiply
    29,246.84x = 43,869.20 × 9,524.88
  4. Step 4: Simplify right side
    29,246.84x = 417,848,865.70
  5. Step 5: Solve for x
    x = 417,848,865.70/29,246.84
  6. Step 6: Final answer
    x = 14,286.97

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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.