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Finding the Fourth Proportional to 39,231.96, 54,138.72 and 22,461.72

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Solution

The fourth proportional to 39,231.96, 54,138.72 and 22,461.72 is: 30,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,231.96 : 54,138.72 = 22,461.72 : x
  2. Step 2: Convert to fraction form
    39,231.96/54,138.72 = 22,461.72/x
  3. Step 3: Cross multiply
    39,231.96x = 54,138.72 × 22,461.72
  4. Step 4: Simplify right side
    39,231.96x = 1,216,048,769.80
  5. Step 5: Solve for x
    x = 1,216,048,769.80/39,231.96
  6. Step 6: Final answer
    x = 30,996.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.