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Finding the Fourth Proportional to 83,794.81, 115,604.12 and 47,965.67

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Solution

The fourth proportional to 83,794.81, 115,604.12 and 47,965.67 is: 66,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,794.81 : 115,604.12 = 47,965.67 : x
  2. Step 2: Convert to fraction form
    83,794.81/115,604.12 = 47,965.67/x
  3. Step 3: Cross multiply
    83,794.81x = 115,604.12 × 47,965.67
  4. Step 4: Simplify right side
    83,794.81x = 5,545,028,830.73
  5. Step 5: Solve for x
    x = 5,545,028,830.73/83,794.81
  6. Step 6: Final answer
    x = 66,173.90

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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.