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Finding the Fourth Proportional to 34,664.94, 51,991.74 and 9,706.68

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Solution

The fourth proportional to 34,664.94, 51,991.74 and 9,706.68 is: 14,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,664.94 : 51,991.74 = 9,706.68 : x
  2. Step 2: Convert to fraction form
    34,664.94/51,991.74 = 9,706.68/x
  3. Step 3: Cross multiply
    34,664.94x = 51,991.74 × 9,706.68
  4. Step 4: Simplify right side
    34,664.94x = 504,667,182.82
  5. Step 5: Solve for x
    x = 504,667,182.82/34,664.94
  6. Step 6: Final answer
    x = 14,558.43

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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.