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Finding the Fourth Proportional to 66,290.92, 91,472.10 and 37,997.80

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Solution

The fourth proportional to 66,290.92, 91,472.10 and 37,997.80 is: 52,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,290.92 : 91,472.10 = 37,997.80 : x
  2. Step 2: Convert to fraction form
    66,290.92/91,472.10 = 37,997.80/x
  3. Step 3: Cross multiply
    66,290.92x = 91,472.10 × 37,997.80
  4. Step 4: Simplify right side
    66,290.92x = 3,475,738,561.38
  5. Step 5: Solve for x
    x = 3,475,738,561.38/66,290.92
  6. Step 6: Final answer
    x = 52,431.59

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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.