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Finding the Fourth Proportional to 47,007.60, 70,584.30 and 27,324.60

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Solution

The fourth proportional to 47,007.60, 70,584.30 and 27,324.60 is: 41,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,007.60 : 70,584.30 = 27,324.60 : x
  2. Step 2: Convert to fraction form
    47,007.60/70,584.30 = 27,324.60/x
  3. Step 3: Cross multiply
    47,007.60x = 70,584.30 × 27,324.60
  4. Step 4: Simplify right side
    47,007.60x = 1,928,687,763.78
  5. Step 5: Solve for x
    x = 1,928,687,763.78/47,007.60
  6. Step 6: Final answer
    x = 41,029.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.