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Finding the Fourth Proportional to 31,234.32, 43,119 and 21,215.76

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Solution

The fourth proportional to 31,234.32, 43,119 and 21,215.76 is: 29,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234.32 : 43,119 = 21,215.76 : x
  2. Step 2: Convert to fraction form
    31,234.32/43,119 = 21,215.76/x
  3. Step 3: Cross multiply
    31,234.32x = 43,119 × 21,215.76
  4. Step 4: Simplify right side
    31,234.32x = 914,802,355.44
  5. Step 5: Solve for x
    x = 914,802,355.44/31,234.32
  6. Step 6: Final answer
    x = 29,288.37

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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.