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Finding the Fourth Proportional to 40,871.96, 56,403.60 and 22,967

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Solution

The fourth proportional to 40,871.96, 56,403.60 and 22,967 is: 31,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,871.96 : 56,403.60 = 22,967 : x
  2. Step 2: Convert to fraction form
    40,871.96/56,403.60 = 22,967/x
  3. Step 3: Cross multiply
    40,871.96x = 56,403.60 × 22,967
  4. Step 4: Simplify right side
    40,871.96x = 1,295,421,481.20
  5. Step 5: Solve for x
    x = 1,295,421,481.20/40,871.96
  6. Step 6: Final answer
    x = 31,694.63

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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.