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Finding the Fourth Proportional to 38,972.72, 53,770.09 and 23,849.61

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Solution

The fourth proportional to 38,972.72, 53,770.09 and 23,849.61 is: 32,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972.72 : 53,770.09 = 23,849.61 : x
  2. Step 2: Convert to fraction form
    38,972.72/53,770.09 = 23,849.61/x
  3. Step 3: Cross multiply
    38,972.72x = 53,770.09 × 23,849.61
  4. Step 4: Simplify right side
    38,972.72x = 1,282,395,556.92
  5. Step 5: Solve for x
    x = 1,282,395,556.92/38,972.72
  6. Step 6: Final answer
    x = 32,904.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.