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Finding the Fourth Proportional to 31,493.66, 43,461.24 and 17,346.56

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Solution

The fourth proportional to 31,493.66, 43,461.24 and 17,346.56 is: 23,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493.66 : 43,461.24 = 17,346.56 : x
  2. Step 2: Convert to fraction form
    31,493.66/43,461.24 = 17,346.56/x
  3. Step 3: Cross multiply
    31,493.66x = 43,461.24 × 17,346.56
  4. Step 4: Simplify right side
    31,493.66x = 753,903,007.33
  5. Step 5: Solve for x
    x = 753,903,007.33/31,493.66
  6. Step 6: Final answer
    x = 23,938.25

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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.