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Finding the Fourth Proportional to 55,429.96, 76,474.50 and 31,550.80

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Solution

The fourth proportional to 55,429.96, 76,474.50 and 31,550.80 is: 43,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,429.96 : 76,474.50 = 31,550.80 : x
  2. Step 2: Convert to fraction form
    55,429.96/76,474.50 = 31,550.80/x
  3. Step 3: Cross multiply
    55,429.96x = 76,474.50 × 31,550.80
  4. Step 4: Simplify right side
    55,429.96x = 2,412,831,654.60
  5. Step 5: Solve for x
    x = 2,412,831,654.60/55,429.96
  6. Step 6: Final answer
    x = 43,529.38

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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.