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Finding the Fourth Proportional to 55,674.94, 76,834.56 and 33,027.34

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Solution

The fourth proportional to 55,674.94, 76,834.56 and 33,027.34 is: 45,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,674.94 : 76,834.56 = 33,027.34 : x
  2. Step 2: Convert to fraction form
    55,674.94/76,834.56 = 33,027.34/x
  3. Step 3: Cross multiply
    55,674.94x = 76,834.56 × 33,027.34
  4. Step 4: Simplify right side
    55,674.94x = 2,537,641,136.87
  5. Step 5: Solve for x
    x = 2,537,641,136.87/55,674.94
  6. Step 6: Final answer
    x = 45,579.59

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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.