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Finding the Fourth Proportional to 82,093.76, 122,962.44 and 50,407.64

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Solution

The fourth proportional to 82,093.76, 122,962.44 and 50,407.64 is: 75,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,093.76 : 122,962.44 = 50,407.64 : x
  2. Step 2: Convert to fraction form
    82,093.76/122,962.44 = 50,407.64/x
  3. Step 3: Cross multiply
    82,093.76x = 122,962.44 × 50,407.64
  4. Step 4: Simplify right side
    82,093.76x = 6,198,246,157.00
  5. Step 5: Solve for x
    x = 6,198,246,157.00/82,093.76
  6. Step 6: Final answer
    x = 75,502.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.