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Finding the Fourth Proportional to 72,846.60, 109,286.34 and 22,250.16

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Solution

The fourth proportional to 72,846.60, 109,286.34 and 22,250.16 is: 33,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,846.60 : 109,286.34 = 22,250.16 : x
  2. Step 2: Convert to fraction form
    72,846.60/109,286.34 = 22,250.16/x
  3. Step 3: Cross multiply
    72,846.60x = 109,286.34 × 22,250.16
  4. Step 4: Simplify right side
    72,846.60x = 2,431,638,550.81
  5. Step 5: Solve for x
    x = 2,431,638,550.81/72,846.60
  6. Step 6: Final answer
    x = 33,380.26

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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.