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Finding the Fourth Proportional to 76,498.56, 114,747.84 and 27,216

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Solution

The fourth proportional to 76,498.56, 114,747.84 and 27,216 is: 40,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,498.56 : 114,747.84 = 27,216 : x
  2. Step 2: Convert to fraction form
    76,498.56/114,747.84 = 27,216/x
  3. Step 3: Cross multiply
    76,498.56x = 114,747.84 × 27,216
  4. Step 4: Simplify right side
    76,498.56x = 3,122,977,213.44
  5. Step 5: Solve for x
    x = 3,122,977,213.44/76,498.56
  6. Step 6: Final answer
    x = 40,824

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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.