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Finding the Fourth Proportional to 72,847.44, 100,532.16 and 40,584.96

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Solution

The fourth proportional to 72,847.44, 100,532.16 and 40,584.96 is: 56,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,847.44 : 100,532.16 = 40,584.96 : x
  2. Step 2: Convert to fraction form
    72,847.44/100,532.16 = 40,584.96/x
  3. Step 3: Cross multiply
    72,847.44x = 100,532.16 × 40,584.96
  4. Step 4: Simplify right side
    72,847.44x = 4,080,093,692.31
  5. Step 5: Solve for x
    x = 4,080,093,692.31/72,847.44
  6. Step 6: Final answer
    x = 56,008.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.