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Finding the Fourth Proportional to 106,686.51, 160,072.79 and 47,481.68

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Solution

The fourth proportional to 106,686.51, 160,072.79 and 47,481.68 is: 71,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,686.51 : 160,072.79 = 47,481.68 : x
  2. Step 2: Convert to fraction form
    106,686.51/160,072.79 = 47,481.68/x
  3. Step 3: Cross multiply
    106,686.51x = 160,072.79 × 47,481.68
  4. Step 4: Simplify right side
    106,686.51x = 7,600,524,991.49
  5. Step 5: Solve for x
    x = 7,600,524,991.49/106,686.51
  6. Step 6: Final answer
    x = 71,241.67

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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.