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Finding the Fourth Proportional to 82,128.67, 123,262.25 and 32,243.80

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Solution

The fourth proportional to 82,128.67, 123,262.25 and 32,243.80 is: 48,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,128.67 : 123,262.25 = 32,243.80 : x
  2. Step 2: Convert to fraction form
    82,128.67/123,262.25 = 32,243.80/x
  3. Step 3: Cross multiply
    82,128.67x = 123,262.25 × 32,243.80
  4. Step 4: Simplify right side
    82,128.67x = 3,974,443,336.55
  5. Step 5: Solve for x
    x = 3,974,443,336.55/82,128.67
  6. Step 6: Final answer
    x = 48,392.89

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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.