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Finding the Fourth Proportional to 48,161.75, 66,468.20 and 27,744.53

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Solution

The fourth proportional to 48,161.75, 66,468.20 and 27,744.53 is: 38,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,161.75 : 66,468.20 = 27,744.53 : x
  2. Step 2: Convert to fraction form
    48,161.75/66,468.20 = 27,744.53/x
  3. Step 3: Cross multiply
    48,161.75x = 66,468.20 × 27,744.53
  4. Step 4: Simplify right side
    48,161.75x = 1,844,128,497.88
  5. Step 5: Solve for x
    x = 1,844,128,497.88/48,161.75
  6. Step 6: Final answer
    x = 38,290.32

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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.