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Finding the Fourth Proportional to 51,840.39, 71,474.34 and 33,906.99

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Solution

The fourth proportional to 51,840.39, 71,474.34 and 33,906.99 is: 46,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840.39 : 71,474.34 = 33,906.99 : x
  2. Step 2: Convert to fraction form
    51,840.39/71,474.34 = 33,906.99/x
  3. Step 3: Cross multiply
    51,840.39x = 71,474.34 × 33,906.99
  4. Step 4: Simplify right side
    51,840.39x = 2,423,479,731.64
  5. Step 5: Solve for x
    x = 2,423,479,731.64/51,840.39
  6. Step 6: Final answer
    x = 46,748.87

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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.