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Finding the Fourth Proportional to 39,786.32, 54,847.32 and 27,812.54

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Solution

The fourth proportional to 39,786.32, 54,847.32 and 27,812.54 is: 38,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,786.32 : 54,847.32 = 27,812.54 : x
  2. Step 2: Convert to fraction form
    39,786.32/54,847.32 = 27,812.54/x
  3. Step 3: Cross multiply
    39,786.32x = 54,847.32 × 27,812.54
  4. Step 4: Simplify right side
    39,786.32x = 1,525,443,007.16
  5. Step 5: Solve for x
    x = 1,525,443,007.16/39,786.32
  6. Step 6: Final answer
    x = 38,340.90

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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.