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Finding the Fourth Proportional to 27,581.42, 41,378.34 and 10,051.31

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Solution

The fourth proportional to 27,581.42, 41,378.34 and 10,051.31 is: 15,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,581.42 : 41,378.34 = 10,051.31 : x
  2. Step 2: Convert to fraction form
    27,581.42/41,378.34 = 10,051.31/x
  3. Step 3: Cross multiply
    27,581.42x = 41,378.34 × 10,051.31
  4. Step 4: Simplify right side
    27,581.42x = 415,906,522.63
  5. Step 5: Solve for x
    x = 415,906,522.63/27,581.42
  6. Step 6: Final answer
    x = 15,079.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.