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Finding the Fourth Proportional to 73,872.68, 110,809.22 and 29,503.04

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Solution

The fourth proportional to 73,872.68, 110,809.22 and 29,503.04 is: 44,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,872.68 : 110,809.22 = 29,503.04 : x
  2. Step 2: Convert to fraction form
    73,872.68/110,809.22 = 29,503.04/x
  3. Step 3: Cross multiply
    73,872.68x = 110,809.22 × 29,503.04
  4. Step 4: Simplify right side
    73,872.68x = 3,269,208,850.03
  5. Step 5: Solve for x
    x = 3,269,208,850.03/73,872.68
  6. Step 6: Final answer
    x = 44,254.64

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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.