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Finding the Fourth Proportional to 30,659.56, 42,313.96 and 17,231.38

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Solution

The fourth proportional to 30,659.56, 42,313.96 and 17,231.38 is: 23,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659.56 : 42,313.96 = 17,231.38 : x
  2. Step 2: Convert to fraction form
    30,659.56/42,313.96 = 17,231.38/x
  3. Step 3: Cross multiply
    30,659.56x = 42,313.96 × 17,231.38
  4. Step 4: Simplify right side
    30,659.56x = 729,127,924.06
  5. Step 5: Solve for x
    x = 729,127,924.06/30,659.56
  6. Step 6: Final answer
    x = 23,781.42

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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.