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Finding the Fourth Proportional to 31,493.98, 43,461.68 and 17,346.82

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Solution

The fourth proportional to 31,493.98, 43,461.68 and 17,346.82 is: 23,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493.98 : 43,461.68 = 17,346.82 : x
  2. Step 2: Convert to fraction form
    31,493.98/43,461.68 = 17,346.82/x
  3. Step 3: Cross multiply
    31,493.98x = 43,461.68 × 17,346.82
  4. Step 4: Simplify right side
    31,493.98x = 753,921,956.06
  5. Step 5: Solve for x
    x = 753,921,956.06/31,493.98
  6. Step 6: Final answer
    x = 23,938.61

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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.