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Finding the Fourth Proportional to 53,013.44, 73,160.42 and 29,142.32

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Solution

The fourth proportional to 53,013.44, 73,160.42 and 29,142.32 is: 40,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,013.44 : 73,160.42 = 29,142.32 : x
  2. Step 2: Convert to fraction form
    53,013.44/73,160.42 = 29,142.32/x
  3. Step 3: Cross multiply
    53,013.44x = 73,160.42 × 29,142.32
  4. Step 4: Simplify right side
    53,013.44x = 2,132,064,370.97
  5. Step 5: Solve for x
    x = 2,132,064,370.97/53,013.44
  6. Step 6: Final answer
    x = 40,217.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.