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Finding the Fourth Proportional to 82,578.69, 123,801.21 and 38,233.62

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Solution

The fourth proportional to 82,578.69, 123,801.21 and 38,233.62 is: 57,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,578.69 : 123,801.21 = 38,233.62 : x
  2. Step 2: Convert to fraction form
    82,578.69/123,801.21 = 38,233.62/x
  3. Step 3: Cross multiply
    82,578.69x = 123,801.21 × 38,233.62
  4. Step 4: Simplify right side
    82,578.69x = 4,733,368,418.68
  5. Step 5: Solve for x
    x = 4,733,368,418.68/82,578.69
  6. Step 6: Final answer
    x = 57,319.49

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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.