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Finding the Fourth Proportional to 32,921.49, 45,431.31 and 17,813.82

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Solution

The fourth proportional to 32,921.49, 45,431.31 and 17,813.82 is: 24,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,921.49 : 45,431.31 = 17,813.82 : x
  2. Step 2: Convert to fraction form
    32,921.49/45,431.31 = 17,813.82/x
  3. Step 3: Cross multiply
    32,921.49x = 45,431.31 × 17,813.82
  4. Step 4: Simplify right side
    32,921.49x = 809,305,178.70
  5. Step 5: Solve for x
    x = 809,305,178.70/32,921.49
  6. Step 6: Final answer
    x = 24,582.88

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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.