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Finding the Fourth Proportional to 30,268.76, 45,407.39 and 8,082.86

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Solution

The fourth proportional to 30,268.76, 45,407.39 and 8,082.86 is: 12,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.76 : 45,407.39 = 8,082.86 : x
  2. Step 2: Convert to fraction form
    30,268.76/45,407.39 = 8,082.86/x
  3. Step 3: Cross multiply
    30,268.76x = 45,407.39 × 8,082.86
  4. Step 4: Simplify right side
    30,268.76x = 367,021,308.88
  5. Step 5: Solve for x
    x = 367,021,308.88/30,268.76
  6. Step 6: Final answer
    x = 12,125.42

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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.