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Finding the Fourth Proportional to 48,002.56, 66,243.42 and 27,871.22

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Solution

The fourth proportional to 48,002.56, 66,243.42 and 27,871.22 is: 38,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,002.56 : 66,243.42 = 27,871.22 : x
  2. Step 2: Convert to fraction form
    48,002.56/66,243.42 = 27,871.22/x
  3. Step 3: Cross multiply
    48,002.56x = 66,243.42 × 27,871.22
  4. Step 4: Simplify right side
    48,002.56x = 1,846,285,097.98
  5. Step 5: Solve for x
    x = 1,846,285,097.98/48,002.56
  6. Step 6: Final answer
    x = 38,462.22

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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.