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Finding the Fourth Proportional to 58,840.38, 81,200.22 and 31,982.94

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Solution

The fourth proportional to 58,840.38, 81,200.22 and 31,982.94 is: 44,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,840.38 : 81,200.22 = 31,982.94 : x
  2. Step 2: Convert to fraction form
    58,840.38/81,200.22 = 31,982.94/x
  3. Step 3: Cross multiply
    58,840.38x = 81,200.22 × 31,982.94
  4. Step 4: Simplify right side
    58,840.38x = 2,597,021,764.25
  5. Step 5: Solve for x
    x = 2,597,021,764.25/58,840.38
  6. Step 6: Final answer
    x = 44,136.73

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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.