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Finding the Fourth Proportional to 30,341.62, 41,912.28 and 27,512.18

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Solution

The fourth proportional to 30,341.62, 41,912.28 and 27,512.18 is: 38,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,341.62 : 41,912.28 = 27,512.18 : x
  2. Step 2: Convert to fraction form
    30,341.62/41,912.28 = 27,512.18/x
  3. Step 3: Cross multiply
    30,341.62x = 41,912.28 × 27,512.18
  4. Step 4: Simplify right side
    30,341.62x = 1,153,098,191.57
  5. Step 5: Solve for x
    x = 1,153,098,191.57/30,341.62
  6. Step 6: Final answer
    x = 38,003.84

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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.