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Finding the Fourth Proportional to 72,315, 108,474.42 and 23,067

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Solution

The fourth proportional to 72,315, 108,474.42 and 23,067 is: 34,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,315 : 108,474.42 = 23,067 : x
  2. Step 2: Convert to fraction form
    72,315/108,474.42 = 23,067/x
  3. Step 3: Cross multiply
    72,315x = 108,474.42 × 23,067
  4. Step 4: Simplify right side
    72,315x = 2,502,179,446.14
  5. Step 5: Solve for x
    x = 2,502,179,446.14/72,315
  6. Step 6: Final answer
    x = 34,601.11

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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.