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Finding the Fourth Proportional to 58,611.77, 80,884.12 and 31,755

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Solution

The fourth proportional to 58,611.77, 80,884.12 and 31,755 is: 43,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,611.77 : 80,884.12 = 31,755 : x
  2. Step 2: Convert to fraction form
    58,611.77/80,884.12 = 31,755/x
  3. Step 3: Cross multiply
    58,611.77x = 80,884.12 × 31,755
  4. Step 4: Simplify right side
    58,611.77x = 2,568,475,230.60
  5. Step 5: Solve for x
    x = 2,568,475,230.60/58,611.77
  6. Step 6: Final answer
    x = 43,821.83

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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.