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Finding the Fourth Proportional to 82,391.92, 113,660.76 and 48,834.16

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Solution

The fourth proportional to 82,391.92, 113,660.76 and 48,834.16 is: 67,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,391.92 : 113,660.76 = 48,834.16 : x
  2. Step 2: Convert to fraction form
    82,391.92/113,660.76 = 48,834.16/x
  3. Step 3: Cross multiply
    82,391.92x = 113,660.76 × 48,834.16
  4. Step 4: Simplify right side
    82,391.92x = 5,550,527,739.56
  5. Step 5: Solve for x
    x = 5,550,527,739.56/82,391.92
  6. Step 6: Final answer
    x = 67,367.38

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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.