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Finding the Fourth Proportional to 29,471.72, 44,207.70 and 11,941.88

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Solution

The fourth proportional to 29,471.72, 44,207.70 and 11,941.88 is: 17,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.72 : 44,207.70 = 11,941.88 : x
  2. Step 2: Convert to fraction form
    29,471.72/44,207.70 = 11,941.88/x
  3. Step 3: Cross multiply
    29,471.72x = 44,207.70 × 11,941.88
  4. Step 4: Simplify right side
    29,471.72x = 527,923,048.48
  5. Step 5: Solve for x
    x = 527,923,048.48/29,471.72
  6. Step 6: Final answer
    x = 17,912.87

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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.