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Finding the Fourth Proportional to 72,808.70, 109,212.97 and 22,893.16

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Solution

The fourth proportional to 72,808.70, 109,212.97 and 22,893.16 is: 34,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,808.70 : 109,212.97 = 22,893.16 : x
  2. Step 2: Convert to fraction form
    72,808.70/109,212.97 = 22,893.16/x
  3. Step 3: Cross multiply
    72,808.70x = 109,212.97 × 22,893.16
  4. Step 4: Simplify right side
    72,808.70x = 2,500,229,335.75
  5. Step 5: Solve for x
    x = 2,500,229,335.75/72,808.70
  6. Step 6: Final answer
    x = 34,339.71

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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.