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Finding the Fourth Proportional to 33,602.58, 50,265.27 and 27,612

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Solution

The fourth proportional to 33,602.58, 50,265.27 and 27,612 is: 41,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,602.58 : 50,265.27 = 27,612 : x
  2. Step 2: Convert to fraction form
    33,602.58/50,265.27 = 27,612/x
  3. Step 3: Cross multiply
    33,602.58x = 50,265.27 × 27,612
  4. Step 4: Simplify right side
    33,602.58x = 1,387,924,635.24
  5. Step 5: Solve for x
    x = 1,387,924,635.24/33,602.58
  6. Step 6: Final answer
    x = 41,304.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.