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Finding the Fourth Proportional to 82,693.92, 114,120 and 50,881.44

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Solution

The fourth proportional to 82,693.92, 114,120 and 50,881.44 is: 70,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,693.92 : 114,120 = 50,881.44 : x
  2. Step 2: Convert to fraction form
    82,693.92/114,120 = 50,881.44/x
  3. Step 3: Cross multiply
    82,693.92x = 114,120 × 50,881.44
  4. Step 4: Simplify right side
    82,693.92x = 5,806,589,932.80
  5. Step 5: Solve for x
    x = 5,806,589,932.80/82,693.92
  6. Step 6: Final answer
    x = 70,217.86

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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.