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Finding the Fourth Proportional to 37,706.56, 52,006.25 and 25,616.38

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Solution

The fourth proportional to 37,706.56, 52,006.25 and 25,616.38 is: 35,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,706.56 : 52,006.25 = 25,616.38 : x
  2. Step 2: Convert to fraction form
    37,706.56/52,006.25 = 25,616.38/x
  3. Step 3: Cross multiply
    37,706.56x = 52,006.25 × 25,616.38
  4. Step 4: Simplify right side
    37,706.56x = 1,332,211,747.64
  5. Step 5: Solve for x
    x = 1,332,211,747.64/37,706.56
  6. Step 6: Final answer
    x = 35,331.03

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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.