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Finding the Fourth Proportional to 76,592.97, 114,997.11 and 39,179.90

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Solution

The fourth proportional to 76,592.97, 114,997.11 and 39,179.90 is: 58,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,592.97 : 114,997.11 = 39,179.90 : x
  2. Step 2: Convert to fraction form
    76,592.97/114,997.11 = 39,179.90/x
  3. Step 3: Cross multiply
    76,592.97x = 114,997.11 × 39,179.90
  4. Step 4: Simplify right side
    76,592.97x = 4,505,574,695.10
  5. Step 5: Solve for x
    x = 4,505,574,695.10/76,592.97
  6. Step 6: Final answer
    x = 58,824.91

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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.