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Finding the Fourth Proportional to 31,089.20, 42,903.14 and 16,942.14

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Solution

The fourth proportional to 31,089.20, 42,903.14 and 16,942.14 is: 23,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,089.20 : 42,903.14 = 16,942.14 : x
  2. Step 2: Convert to fraction form
    31,089.20/42,903.14 = 16,942.14/x
  3. Step 3: Cross multiply
    31,089.20x = 42,903.14 × 16,942.14
  4. Step 4: Simplify right side
    31,089.20x = 726,870,919.61
  5. Step 5: Solve for x
    x = 726,870,919.61/31,089.20
  6. Step 6: Final answer
    x = 23,380.18

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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.