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Finding the Fourth Proportional to 27,855.88, 41,771.52 and 13,052.84

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Solution

The fourth proportional to 27,855.88, 41,771.52 and 13,052.84 is: 19,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.88 : 41,771.52 = 13,052.84 : x
  2. Step 2: Convert to fraction form
    27,855.88/41,771.52 = 13,052.84/x
  3. Step 3: Cross multiply
    27,855.88x = 41,771.52 × 13,052.84
  4. Step 4: Simplify right side
    27,855.88x = 545,236,967.12
  5. Step 5: Solve for x
    x = 545,236,967.12/27,855.88
  6. Step 6: Final answer
    x = 19,573.50

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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.