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Finding the Fourth Proportional to 53,148.38, 73,344.26 and 29,274.54

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Solution

The fourth proportional to 53,148.38, 73,344.26 and 29,274.54 is: 40,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,148.38 : 73,344.26 = 29,274.54 : x
  2. Step 2: Convert to fraction form
    53,148.38/73,344.26 = 29,274.54/x
  3. Step 3: Cross multiply
    53,148.38x = 73,344.26 × 29,274.54
  4. Step 4: Simplify right side
    53,148.38x = 2,147,119,473.14
  5. Step 5: Solve for x
    x = 2,147,119,473.14/53,148.38
  6. Step 6: Final answer
    x = 40,398.59

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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.