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Finding the Fourth Proportional to 70,162.38, 96,824.07 and 39,946.14

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Solution

The fourth proportional to 70,162.38, 96,824.07 and 39,946.14 is: 55,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,162.38 : 96,824.07 = 39,946.14 : x
  2. Step 2: Convert to fraction form
    70,162.38/96,824.07 = 39,946.14/x
  3. Step 3: Cross multiply
    70,162.38x = 96,824.07 × 39,946.14
  4. Step 4: Simplify right side
    70,162.38x = 3,867,747,855.59
  5. Step 5: Solve for x
    x = 3,867,747,855.59/70,162.38
  6. Step 6: Final answer
    x = 55,125.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.