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Finding the Fourth Proportional to 83,401.44, 125,120.88 and 27,996

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Solution

The fourth proportional to 83,401.44, 125,120.88 and 27,996 is: 42,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,401.44 : 125,120.88 = 27,996 : x
  2. Step 2: Convert to fraction form
    83,401.44/125,120.88 = 27,996/x
  3. Step 3: Cross multiply
    83,401.44x = 125,120.88 × 27,996
  4. Step 4: Simplify right side
    83,401.44x = 3,502,884,156.48
  5. Step 5: Solve for x
    x = 3,502,884,156.48/83,401.44
  6. Step 6: Final answer
    x = 42,000.28

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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.