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Finding the Fourth Proportional to 32,921.80, 45,431.77 and 17,814.13

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Solution

The fourth proportional to 32,921.80, 45,431.77 and 17,814.13 is: 24,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,921.80 : 45,431.77 = 17,814.13 : x
  2. Step 2: Convert to fraction form
    32,921.80/45,431.77 = 17,814.13/x
  3. Step 3: Cross multiply
    32,921.80x = 45,431.77 × 17,814.13
  4. Step 4: Simplify right side
    32,921.80x = 809,327,456.91
  5. Step 5: Solve for x
    x = 809,327,456.91/32,921.80
  6. Step 6: Final answer
    x = 24,583.33

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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.