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Finding the Fourth Proportional to 72,092.25, 108,141.36 and 24,739.89

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Solution

The fourth proportional to 72,092.25, 108,141.36 and 24,739.89 is: 37,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,092.25 : 108,141.36 = 24,739.89 : x
  2. Step 2: Convert to fraction form
    72,092.25/108,141.36 = 24,739.89/x
  3. Step 3: Cross multiply
    72,092.25x = 108,141.36 × 24,739.89
  4. Step 4: Simplify right side
    72,092.25x = 2,675,405,350.85
  5. Step 5: Solve for x
    x = 2,675,405,350.85/72,092.25
  6. Step 6: Final answer
    x = 37,110.86

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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.