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Finding the Fourth Proportional to 37,469.10, 51,706.75 and 20,472.98

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Solution

The fourth proportional to 37,469.10, 51,706.75 and 20,472.98 is: 28,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,469.10 : 51,706.75 = 20,472.98 : x
  2. Step 2: Convert to fraction form
    37,469.10/51,706.75 = 20,472.98/x
  3. Step 3: Cross multiply
    37,469.10x = 51,706.75 × 20,472.98
  4. Step 4: Simplify right side
    37,469.10x = 1,058,591,258.62
  5. Step 5: Solve for x
    x = 1,058,591,258.62/37,469.10
  6. Step 6: Final answer
    x = 28,252.38

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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.