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Finding the Fourth Proportional to 32,072.70, 44,199.09 and 27,873.66

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Solution

The fourth proportional to 32,072.70, 44,199.09 and 27,873.66 is: 38,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,072.70 : 44,199.09 = 27,873.66 : x
  2. Step 2: Convert to fraction form
    32,072.70/44,199.09 = 27,873.66/x
  3. Step 3: Cross multiply
    32,072.70x = 44,199.09 × 27,873.66
  4. Step 4: Simplify right side
    32,072.70x = 1,231,990,406.97
  5. Step 5: Solve for x
    x = 1,231,990,406.97/32,072.70
  6. Step 6: Final answer
    x = 38,412.43

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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.