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Finding the Fourth Proportional to 53,143.36, 73,338 and 29,270.56

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Solution

The fourth proportional to 53,143.36, 73,338 and 29,270.56 is: 40,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,143.36 : 73,338 = 29,270.56 : x
  2. Step 2: Convert to fraction form
    53,143.36/73,338 = 29,270.56/x
  3. Step 3: Cross multiply
    53,143.36x = 73,338 × 29,270.56
  4. Step 4: Simplify right side
    53,143.36x = 2,146,644,329.28
  5. Step 5: Solve for x
    x = 2,146,644,329.28/53,143.36
  6. Step 6: Final answer
    x = 40,393.46

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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.