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Finding the Fourth Proportional to 31,015.28, 42,812.22 and 18,440

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Solution

The fourth proportional to 31,015.28, 42,812.22 and 18,440 is: 25,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.28 : 42,812.22 = 18,440 : x
  2. Step 2: Convert to fraction form
    31,015.28/42,812.22 = 18,440/x
  3. Step 3: Cross multiply
    31,015.28x = 42,812.22 × 18,440
  4. Step 4: Simplify right side
    31,015.28x = 789,457,336.80
  5. Step 5: Solve for x
    x = 789,457,336.80/31,015.28
  6. Step 6: Final answer
    x = 25,453.82

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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.