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Finding the Fourth Proportional to 106,615, 159,923.36 and 36,494.92

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Solution

The fourth proportional to 106,615, 159,923.36 and 36,494.92 is: 54,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,615 : 159,923.36 = 36,494.92 : x
  2. Step 2: Convert to fraction form
    106,615/159,923.36 = 36,494.92/x
  3. Step 3: Cross multiply
    106,615x = 159,923.36 × 36,494.92
  4. Step 4: Simplify right side
    106,615x = 5,836,390,229.33
  5. Step 5: Solve for x
    x = 5,836,390,229.33/106,615
  6. Step 6: Final answer
    x = 54,742.67

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1.5x scale

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.