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Finding the Fourth Proportional to 106,243.28, 159,382.24 and 31,371

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Solution

The fourth proportional to 106,243.28, 159,382.24 and 31,371 is: 47,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,243.28 : 159,382.24 = 31,371 : x
  2. Step 2: Convert to fraction form
    106,243.28/159,382.24 = 31,371/x
  3. Step 3: Cross multiply
    106,243.28x = 159,382.24 × 31,371
  4. Step 4: Simplify right side
    106,243.28x = 4,999,980,251.04
  5. Step 5: Solve for x
    x = 4,999,980,251.04/106,243.28
  6. Step 6: Final answer
    x = 47,061.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.