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Finding the Fourth Proportional to 58,611.38, 80,883.62 and 31,754

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Solution

The fourth proportional to 58,611.38, 80,883.62 and 31,754 is: 43,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,611.38 : 80,883.62 = 31,754 : x
  2. Step 2: Convert to fraction form
    58,611.38/80,883.62 = 31,754/x
  3. Step 3: Cross multiply
    58,611.38x = 80,883.62 × 31,754
  4. Step 4: Simplify right side
    58,611.38x = 2,568,378,469.48
  5. Step 5: Solve for x
    x = 2,568,378,469.48/58,611.38
  6. Step 6: Final answer
    x = 43,820.47

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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.