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Finding the Fourth Proportional to 39,524.88, 54,519.36 and 27,583.84

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Solution

The fourth proportional to 39,524.88, 54,519.36 and 27,583.84 is: 38,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,524.88 : 54,519.36 = 27,583.84 : x
  2. Step 2: Convert to fraction form
    39,524.88/54,519.36 = 27,583.84/x
  3. Step 3: Cross multiply
    39,524.88x = 54,519.36 × 27,583.84
  4. Step 4: Simplify right side
    39,524.88x = 1,503,853,303.14
  5. Step 5: Solve for x
    x = 1,503,853,303.14/39,524.88
  6. Step 6: Final answer
    x = 38,048.27

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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.