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Finding the Fourth Proportional to 43,850, 60,513.96 and 23,978

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Solution

The fourth proportional to 43,850, 60,513.96 and 23,978 is: 33,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,850 : 60,513.96 = 23,978 : x
  2. Step 2: Convert to fraction form
    43,850/60,513.96 = 23,978/x
  3. Step 3: Cross multiply
    43,850x = 60,513.96 × 23,978
  4. Step 4: Simplify right side
    43,850x = 1,451,003,732.88
  5. Step 5: Solve for x
    x = 1,451,003,732.88/43,850
  6. Step 6: Final answer
    x = 33,090.16

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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.