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Finding the Fourth Proportional to 53,344, 73,614.72 and 29,792

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Solution

The fourth proportional to 53,344, 73,614.72 and 29,792 is: 41,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,344 : 73,614.72 = 29,792 : x
  2. Step 2: Convert to fraction form
    53,344/73,614.72 = 29,792/x
  3. Step 3: Cross multiply
    53,344x = 73,614.72 × 29,792
  4. Step 4: Simplify right side
    53,344x = 2,193,129,738.24
  5. Step 5: Solve for x
    x = 2,193,129,738.24/53,344
  6. Step 6: Final answer
    x = 41,112.96

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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.