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Finding the Fourth Proportional to 66,769.50, 92,141.91 and 36,961.50

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Solution

The fourth proportional to 66,769.50, 92,141.91 and 36,961.50 is: 51,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,769.50 : 92,141.91 = 36,961.50 : x
  2. Step 2: Convert to fraction form
    66,769.50/92,141.91 = 36,961.50/x
  3. Step 3: Cross multiply
    66,769.50x = 92,141.91 × 36,961.50
  4. Step 4: Simplify right side
    66,769.50x = 3,405,703,206.47
  5. Step 5: Solve for x
    x = 3,405,703,206.47/66,769.50
  6. Step 6: Final answer
    x = 51,006.87

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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.