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Finding the Fourth Proportional to 82,360, 123,586.71 and 37,986.78

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Solution

The fourth proportional to 82,360, 123,586.71 and 37,986.78 is: 57,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,360 : 123,586.71 = 37,986.78 : x
  2. Step 2: Convert to fraction form
    82,360/123,586.71 = 37,986.78/x
  3. Step 3: Cross multiply
    82,360x = 123,586.71 × 37,986.78
  4. Step 4: Simplify right side
    82,360x = 4,694,661,163.69
  5. Step 5: Solve for x
    x = 4,694,661,163.69/82,360
  6. Step 6: Final answer
    x = 57,001.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.