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Finding the Fourth Proportional to 72,168.10, 108,221.20 and 24,787.96

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Solution

The fourth proportional to 72,168.10, 108,221.20 and 24,787.96 is: 37,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,168.10 : 108,221.20 = 24,787.96 : x
  2. Step 2: Convert to fraction form
    72,168.10/108,221.20 = 24,787.96/x
  3. Step 3: Cross multiply
    72,168.10x = 108,221.20 × 24,787.96
  4. Step 4: Simplify right side
    72,168.10x = 2,682,582,444.23
  5. Step 5: Solve for x
    x = 2,682,582,444.23/72,168.10
  6. Step 6: Final answer
    x = 37,171.31

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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.