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Finding the Fourth Proportional to 76,977, 115,469.88 and 21,577.32

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Solution

The fourth proportional to 76,977, 115,469.88 and 21,577.32 is: 32,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,977 : 115,469.88 = 21,577.32 : x
  2. Step 2: Convert to fraction form
    76,977/115,469.88 = 21,577.32/x
  3. Step 3: Cross multiply
    76,977x = 115,469.88 × 21,577.32
  4. Step 4: Simplify right side
    76,977x = 2,491,530,551.12
  5. Step 5: Solve for x
    x = 2,491,530,551.12/76,977
  6. Step 6: Final answer
    x = 32,367.21

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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.