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Finding the Fourth Proportional to 58,611.32, 80,883.64 and 31,754

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Solution

The fourth proportional to 58,611.32, 80,883.64 and 31,754 is: 43,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,611.32 : 80,883.64 = 31,754 : x
  2. Step 2: Convert to fraction form
    58,611.32/80,883.64 = 31,754/x
  3. Step 3: Cross multiply
    58,611.32x = 80,883.64 × 31,754
  4. Step 4: Simplify right side
    58,611.32x = 2,568,379,104.56
  5. Step 5: Solve for x
    x = 2,568,379,104.56/58,611.32
  6. Step 6: Final answer
    x = 43,820.53

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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.