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Finding the Fourth Proportional to 31,494.13, 43,461.89 and 17,346.97

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Solution

The fourth proportional to 31,494.13, 43,461.89 and 17,346.97 is: 23,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.13 : 43,461.89 = 17,346.97 : x
  2. Step 2: Convert to fraction form
    31,494.13/43,461.89 = 17,346.97/x
  3. Step 3: Cross multiply
    31,494.13x = 43,461.89 × 17,346.97
  4. Step 4: Simplify right side
    31,494.13x = 753,932,101.97
  5. Step 5: Solve for x
    x = 753,932,101.97/31,494.13
  6. Step 6: Final answer
    x = 23,938.81

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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.