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Finding the Fourth Proportional to 31,082.43, 42,893.85 and 17,653.80

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Solution

The fourth proportional to 31,082.43, 42,893.85 and 17,653.80 is: 24,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.43 : 42,893.85 = 17,653.80 : x
  2. Step 2: Convert to fraction form
    31,082.43/42,893.85 = 17,653.80/x
  3. Step 3: Cross multiply
    31,082.43x = 42,893.85 × 17,653.80
  4. Step 4: Simplify right side
    31,082.43x = 757,239,434.91
  5. Step 5: Solve for x
    x = 757,239,434.91/31,082.43
  6. Step 6: Final answer
    x = 24,362.30

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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.