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Finding the Fourth Proportional to 53,344.56, 73,614.40 and 29,471

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Solution

The fourth proportional to 53,344.56, 73,614.40 and 29,471 is: 40,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,344.56 : 73,614.40 = 29,471 : x
  2. Step 2: Convert to fraction form
    53,344.56/73,614.40 = 29,471/x
  3. Step 3: Cross multiply
    53,344.56x = 73,614.40 × 29,471
  4. Step 4: Simplify right side
    53,344.56x = 2,169,489,982.40
  5. Step 5: Solve for x
    x = 2,169,489,982.40/53,344.56
  6. Step 6: Final answer
    x = 40,669.38

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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.