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Finding the Fourth Proportional to 27,242.52, 40,860.72 and 7,523.88

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Solution

The fourth proportional to 27,242.52, 40,860.72 and 7,523.88 is: 11,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242.52 : 40,860.72 = 7,523.88 : x
  2. Step 2: Convert to fraction form
    27,242.52/40,860.72 = 7,523.88/x
  3. Step 3: Cross multiply
    27,242.52x = 40,860.72 × 7,523.88
  4. Step 4: Simplify right side
    27,242.52x = 307,431,153.99
  5. Step 5: Solve for x
    x = 307,431,153.99/27,242.52
  6. Step 6: Final answer
    x = 11,284.97

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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.