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Finding the Fourth Proportional to 27,192.94, 40,771.72 and 11,408.08

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Solution

The fourth proportional to 27,192.94, 40,771.72 and 11,408.08 is: 17,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,192.94 : 40,771.72 = 11,408.08 : x
  2. Step 2: Convert to fraction form
    27,192.94/40,771.72 = 11,408.08/x
  3. Step 3: Cross multiply
    27,192.94x = 40,771.72 × 11,408.08
  4. Step 4: Simplify right side
    27,192.94x = 465,127,043.50
  5. Step 5: Solve for x
    x = 465,127,043.50/27,192.94
  6. Step 6: Final answer
    x = 17,104.70

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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.