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Finding the Fourth Proportional to 83,651.54, 115,446.84 and 47,834.42

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Solution

The fourth proportional to 83,651.54, 115,446.84 and 47,834.42 is: 66,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,651.54 : 115,446.84 = 47,834.42 : x
  2. Step 2: Convert to fraction form
    83,651.54/115,446.84 = 47,834.42/x
  3. Step 3: Cross multiply
    83,651.54x = 115,446.84 × 47,834.42
  4. Step 4: Simplify right side
    83,651.54x = 5,522,332,632.23
  5. Step 5: Solve for x
    x = 5,522,332,632.23/83,651.54
  6. Step 6: Final answer
    x = 66,015.91

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1.5x scale

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.