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Finding the Fourth Proportional to 53,546.34, 73,887.96 and 29,667

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Solution

The fourth proportional to 53,546.34, 73,887.96 and 29,667 is: 40,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,546.34 : 73,887.96 = 29,667 : x
  2. Step 2: Convert to fraction form
    53,546.34/73,887.96 = 29,667/x
  3. Step 3: Cross multiply
    53,546.34x = 73,887.96 × 29,667
  4. Step 4: Simplify right side
    53,546.34x = 2,192,034,109.32
  5. Step 5: Solve for x
    x = 2,192,034,109.32/53,546.34
  6. Step 6: Final answer
    x = 40,937.14

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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.