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Finding the Fourth Proportional to 53,786.49, 74,227.19 and 29,588.49

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Solution

The fourth proportional to 53,786.49, 74,227.19 and 29,588.49 is: 40,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,786.49 : 74,227.19 = 29,588.49 : x
  2. Step 2: Convert to fraction form
    53,786.49/74,227.19 = 29,588.49/x
  3. Step 3: Cross multiply
    53,786.49x = 74,227.19 × 29,588.49
  4. Step 4: Simplify right side
    53,786.49x = 2,196,270,469.04
  5. Step 5: Solve for x
    x = 2,196,270,469.04/53,786.49
  6. Step 6: Final answer
    x = 40,833.12

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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.