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Finding the Fourth Proportional to 55,231.80, 82,762.65 and 41,125.65

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Solution

The fourth proportional to 55,231.80, 82,762.65 and 41,125.65 is: 61,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,231.80 : 82,762.65 = 41,125.65 : x
  2. Step 2: Convert to fraction form
    55,231.80/82,762.65 = 41,125.65/x
  3. Step 3: Cross multiply
    55,231.80x = 82,762.65 × 41,125.65
  4. Step 4: Simplify right side
    55,231.80x = 3,403,667,776.97
  5. Step 5: Solve for x
    x = 3,403,667,776.97/55,231.80
  6. Step 6: Final answer
    x = 61,625.15

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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.