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Finding the Fourth Proportional to 31,082.80, 42,891.66 and 17,470.10

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Solution

The fourth proportional to 31,082.80, 42,891.66 and 17,470.10 is: 24,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.80 : 42,891.66 = 17,470.10 : x
  2. Step 2: Convert to fraction form
    31,082.80/42,891.66 = 17,470.10/x
  3. Step 3: Cross multiply
    31,082.80x = 42,891.66 × 17,470.10
  4. Step 4: Simplify right side
    31,082.80x = 749,321,589.37
  5. Step 5: Solve for x
    x = 749,321,589.37/31,082.80
  6. Step 6: Final answer
    x = 24,107.27

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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.