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Finding the Fourth Proportional to 55,629.38, 76,771.80 and 31,763.54

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Solution

The fourth proportional to 55,629.38, 76,771.80 and 31,763.54 is: 43,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,629.38 : 76,771.80 = 31,763.54 : x
  2. Step 2: Convert to fraction form
    55,629.38/76,771.80 = 31,763.54/x
  3. Step 3: Cross multiply
    55,629.38x = 76,771.80 × 31,763.54
  4. Step 4: Simplify right side
    55,629.38x = 2,438,543,756.31
  5. Step 5: Solve for x
    x = 2,438,543,756.31/55,629.38
  6. Step 6: Final answer
    x = 43,835.54

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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.