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Finding the Fourth Proportional to 41,204, 56,871.36 and 24,446.72

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Solution

The fourth proportional to 41,204, 56,871.36 and 24,446.72 is: 33,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,204 : 56,871.36 = 24,446.72 : x
  2. Step 2: Convert to fraction form
    41,204/56,871.36 = 24,446.72/x
  3. Step 3: Cross multiply
    41,204x = 56,871.36 × 24,446.72
  4. Step 4: Simplify right side
    41,204x = 1,390,318,213.94
  5. Step 5: Solve for x
    x = 1,390,318,213.94/41,204
  6. Step 6: Final answer
    x = 33,742.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.