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Finding the Fourth Proportional to 76,380.44, 114,533.63 and 44,800.82

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Solution

The fourth proportional to 76,380.44, 114,533.63 and 44,800.82 is: 67,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,380.44 : 114,533.63 = 44,800.82 : x
  2. Step 2: Convert to fraction form
    76,380.44/114,533.63 = 44,800.82/x
  3. Step 3: Cross multiply
    76,380.44x = 114,533.63 × 44,800.82
  4. Step 4: Simplify right side
    76,380.44x = 5,131,199,744.90
  5. Step 5: Solve for x
    x = 5,131,199,744.90/76,380.44
  6. Step 6: Final answer
    x = 67,179.50

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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.