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Finding the Fourth Proportional to 71,874.66, 107,808.30 and 27,498

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Solution

The fourth proportional to 71,874.66, 107,808.30 and 27,498 is: 41,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,874.66 : 107,808.30 = 27,498 : x
  2. Step 2: Convert to fraction form
    71,874.66/107,808.30 = 27,498/x
  3. Step 3: Cross multiply
    71,874.66x = 107,808.30 × 27,498
  4. Step 4: Simplify right side
    71,874.66x = 2,964,512,633.40
  5. Step 5: Solve for x
    x = 2,964,512,633.40/71,874.66
  6. Step 6: Final answer
    x = 41,245.59

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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.