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Finding the Fourth Proportional to 76,622.94, 114,933.26 and 34,473.26

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Solution

The fourth proportional to 76,622.94, 114,933.26 and 34,473.26 is: 51,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,622.94 : 114,933.26 = 34,473.26 : x
  2. Step 2: Convert to fraction form
    76,622.94/114,933.26 = 34,473.26/x
  3. Step 3: Cross multiply
    76,622.94x = 114,933.26 × 34,473.26
  4. Step 4: Simplify right side
    76,622.94x = 3,962,123,861.48
  5. Step 5: Solve for x
    x = 3,962,123,861.48/76,622.94
  6. Step 6: Final answer
    x = 51,709.37

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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.