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Finding the Fourth Proportional to 30,227.34, 41,701.77 and 17,478.18

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Solution

The fourth proportional to 30,227.34, 41,701.77 and 17,478.18 is: 24,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.34 : 41,701.77 = 17,478.18 : x
  2. Step 2: Convert to fraction form
    30,227.34/41,701.77 = 17,478.18/x
  3. Step 3: Cross multiply
    30,227.34x = 41,701.77 × 17,478.18
  4. Step 4: Simplify right side
    30,227.34x = 728,871,042.38
  5. Step 5: Solve for x
    x = 728,871,042.38/30,227.34
  6. Step 6: Final answer
    x = 24,112.97

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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.