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Finding the Fourth Proportional to 53,871.54, 80,718.21 and 27,540.06

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Solution

The fourth proportional to 53,871.54, 80,718.21 and 27,540.06 is: 41,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,871.54 : 80,718.21 = 27,540.06 : x
  2. Step 2: Convert to fraction form
    53,871.54/80,718.21 = 27,540.06/x
  3. Step 3: Cross multiply
    53,871.54x = 80,718.21 × 27,540.06
  4. Step 4: Simplify right side
    53,871.54x = 2,222,984,346.49
  5. Step 5: Solve for x
    x = 2,222,984,346.49/53,871.54
  6. Step 6: Final answer
    x = 41,264.54

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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.