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Finding the Fourth Proportional to 82,403.58, 123,519.18 and 38,059.42

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Solution

The fourth proportional to 82,403.58, 123,519.18 and 38,059.42 is: 57,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,403.58 : 123,519.18 = 38,059.42 : x
  2. Step 2: Convert to fraction form
    82,403.58/123,519.18 = 38,059.42/x
  3. Step 3: Cross multiply
    82,403.58x = 123,519.18 × 38,059.42
  4. Step 4: Simplify right side
    82,403.58x = 4,701,068,201.11
  5. Step 5: Solve for x
    x = 4,701,068,201.11/82,403.58
  6. Step 6: Final answer
    x = 57,049.32

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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.