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Finding the Fourth Proportional to 62,134.50, 85,796.16 and 50,651.20

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Solution

The fourth proportional to 62,134.50, 85,796.16 and 50,651.20 is: 69,939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,134.50 : 85,796.16 = 50,651.20 : x
  2. Step 2: Convert to fraction form
    62,134.50/85,796.16 = 50,651.20/x
  3. Step 3: Cross multiply
    62,134.50x = 85,796.16 × 50,651.20
  4. Step 4: Simplify right side
    62,134.50x = 4,345,678,459.39
  5. Step 5: Solve for x
    x = 4,345,678,459.39/62,134.50
  6. Step 6: Final answer
    x = 69,939.86

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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.