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Finding the Fourth Proportional to 30,659.50, 42,309.75 and 17,233.03

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Solution

The fourth proportional to 30,659.50, 42,309.75 and 17,233.03 is: 23,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659.50 : 42,309.75 = 17,233.03 : x
  2. Step 2: Convert to fraction form
    30,659.50/42,309.75 = 17,233.03/x
  3. Step 3: Cross multiply
    30,659.50x = 42,309.75 × 17,233.03
  4. Step 4: Simplify right side
    30,659.50x = 729,125,191.04
  5. Step 5: Solve for x
    x = 729,125,191.04/30,659.50
  6. Step 6: Final answer
    x = 23,781.38

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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.