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Finding the Fourth Proportional to 31,842.28, 43,942.22 and 17,503.07

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Solution

The fourth proportional to 31,842.28, 43,942.22 and 17,503.07 is: 24,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.28 : 43,942.22 = 17,503.07 : x
  2. Step 2: Convert to fraction form
    31,842.28/43,942.22 = 17,503.07/x
  3. Step 3: Cross multiply
    31,842.28x = 43,942.22 × 17,503.07
  4. Step 4: Simplify right side
    31,842.28x = 769,123,752.62
  5. Step 5: Solve for x
    x = 769,123,752.62/31,842.28
  6. Step 6: Final answer
    x = 24,154.17

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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.