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Finding the Fourth Proportional to 75,843.50, 113,676.66 and 57,063.20

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Solution

The fourth proportional to 75,843.50, 113,676.66 and 57,063.20 is: 85,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.50 : 113,676.66 = 57,063.20 : x
  2. Step 2: Convert to fraction form
    75,843.50/113,676.66 = 57,063.20/x
  3. Step 3: Cross multiply
    75,843.50x = 113,676.66 × 57,063.20
  4. Step 4: Simplify right side
    75,843.50x = 6,486,753,984.91
  5. Step 5: Solve for x
    x = 6,486,753,984.91/75,843.50
  6. Step 6: Final answer
    x = 85,528.15

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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.