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Finding the Fourth Proportional to 72,134.64, 108,197.91 and 19,540.26

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Solution

The fourth proportional to 72,134.64, 108,197.91 and 19,540.26 is: 29,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,134.64 : 108,197.91 = 19,540.26 : x
  2. Step 2: Convert to fraction form
    72,134.64/108,197.91 = 19,540.26/x
  3. Step 3: Cross multiply
    72,134.64x = 108,197.91 × 19,540.26
  4. Step 4: Simplify right side
    72,134.64x = 2,114,215,292.86
  5. Step 5: Solve for x
    x = 2,114,215,292.86/72,134.64
  6. Step 6: Final answer
    x = 29,309.29

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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.