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Finding the Fourth Proportional to 106,243.87, 159,383.12 and 31,371.59

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Solution

The fourth proportional to 106,243.87, 159,383.12 and 31,371.59 is: 47,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,243.87 : 159,383.12 = 31,371.59 : x
  2. Step 2: Convert to fraction form
    106,243.87/159,383.12 = 31,371.59/x
  3. Step 3: Cross multiply
    106,243.87x = 159,383.12 × 31,371.59
  4. Step 4: Simplify right side
    106,243.87x = 5,000,101,893.56
  5. Step 5: Solve for x
    x = 5,000,101,893.56/106,243.87
  6. Step 6: Final answer
    x = 47,062.50

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Why These Related Problems?

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