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Finding the Fourth Proportional to 51,550.80, 71,174.38 and 39,592.76

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Solution

The fourth proportional to 51,550.80, 71,174.38 and 39,592.76 is: 54,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,550.80 : 71,174.38 = 39,592.76 : x
  2. Step 2: Convert to fraction form
    51,550.80/71,174.38 = 39,592.76/x
  3. Step 3: Cross multiply
    51,550.80x = 71,174.38 × 39,592.76
  4. Step 4: Simplify right side
    51,550.80x = 2,817,990,145.49
  5. Step 5: Solve for x
    x = 2,817,990,145.49/51,550.80
  6. Step 6: Final answer
    x = 54,664.33

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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.