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Finding the Fourth Proportional to 38,967.96, 58,431.12 and 20,229.12

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Solution

The fourth proportional to 38,967.96, 58,431.12 and 20,229.12 is: 30,332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,967.96 : 58,431.12 = 20,229.12 : x
  2. Step 2: Convert to fraction form
    38,967.96/58,431.12 = 20,229.12/x
  3. Step 3: Cross multiply
    38,967.96x = 58,431.12 × 20,229.12
  4. Step 4: Simplify right side
    38,967.96x = 1,182,010,138.21
  5. Step 5: Solve for x
    x = 1,182,010,138.21/38,967.96
  6. Step 6: Final answer
    x = 30,332.87

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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.