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Finding the Fourth Proportional to 39,677.28, 54,768.12 and 27,765.48

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Solution

The fourth proportional to 39,677.28, 54,768.12 and 27,765.48 is: 38,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,677.28 : 54,768.12 = 27,765.48 : x
  2. Step 2: Convert to fraction form
    39,677.28/54,768.12 = 27,765.48/x
  3. Step 3: Cross multiply
    39,677.28x = 54,768.12 × 27,765.48
  4. Step 4: Simplify right side
    39,677.28x = 1,520,663,140.50
  5. Step 5: Solve for x
    x = 1,520,663,140.50/39,677.28
  6. Step 6: Final answer
    x = 38,325.79

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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.