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Finding the Fourth Proportional to 72,679.96, 108,984.40 and 29,977.44

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Solution

The fourth proportional to 72,679.96, 108,984.40 and 29,977.44 is: 44,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,679.96 : 108,984.40 = 29,977.44 : x
  2. Step 2: Convert to fraction form
    72,679.96/108,984.40 = 29,977.44/x
  3. Step 3: Cross multiply
    72,679.96x = 108,984.40 × 29,977.44
  4. Step 4: Simplify right side
    72,679.96x = 3,267,073,311.94
  5. Step 5: Solve for x
    x = 3,267,073,311.94/72,679.96
  6. Step 6: Final answer
    x = 44,951.50

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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.