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Finding the Fourth Proportional to 27,245.71, 40,869.08 and 7,524.79

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Solution

The fourth proportional to 27,245.71, 40,869.08 and 7,524.79 is: 11,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245.71 : 40,869.08 = 7,524.79 : x
  2. Step 2: Convert to fraction form
    27,245.71/40,869.08 = 7,524.79/x
  3. Step 3: Cross multiply
    27,245.71x = 40,869.08 × 7,524.79
  4. Step 4: Simplify right side
    27,245.71x = 307,531,365.48
  5. Step 5: Solve for x
    x = 307,531,365.48/27,245.71
  6. Step 6: Final answer
    x = 11,287.33

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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.