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Finding the Fourth Proportional to 53,542.16, 73,884.84 and 29,667.44

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Solution

The fourth proportional to 53,542.16, 73,884.84 and 29,667.44 is: 40,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,542.16 : 73,884.84 = 29,667.44 : x
  2. Step 2: Convert to fraction form
    53,542.16/73,884.84 = 29,667.44/x
  3. Step 3: Cross multiply
    53,542.16x = 73,884.84 × 29,667.44
  4. Step 4: Simplify right side
    53,542.16x = 2,191,974,057.61
  5. Step 5: Solve for x
    x = 2,191,974,057.61/53,542.16
  6. Step 6: Final answer
    x = 40,939.22

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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.