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Finding the Fourth Proportional to 106,233.72, 159,244 and 49,347.56

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Solution

The fourth proportional to 106,233.72, 159,244 and 49,347.56 is: 73,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,233.72 : 159,244 = 49,347.56 : x
  2. Step 2: Convert to fraction form
    106,233.72/159,244 = 49,347.56/x
  3. Step 3: Cross multiply
    106,233.72x = 159,244 × 49,347.56
  4. Step 4: Simplify right side
    106,233.72x = 7,858,302,844.64
  5. Step 5: Solve for x
    x = 7,858,302,844.64/106,233.72
  6. Step 6: Final answer
    x = 73,971.83

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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.