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Finding the Fourth Proportional to 29,472.98, 44,227.69 and 11,942.96

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Solution

The fourth proportional to 29,472.98, 44,227.69 and 11,942.96 is: 17,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,472.98 : 44,227.69 = 11,942.96 : x
  2. Step 2: Convert to fraction form
    29,472.98/44,227.69 = 11,942.96/x
  3. Step 3: Cross multiply
    29,472.98x = 44,227.69 × 11,942.96
  4. Step 4: Simplify right side
    29,472.98x = 528,209,281.57
  5. Step 5: Solve for x
    x = 528,209,281.57/29,472.98
  6. Step 6: Final answer
    x = 17,921.82

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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.