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Finding the Fourth Proportional to 47,584.62, 65,600.12 and 33,223.92

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Solution

The fourth proportional to 47,584.62, 65,600.12 and 33,223.92 is: 45,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,584.62 : 65,600.12 = 33,223.92 : x
  2. Step 2: Convert to fraction form
    47,584.62/65,600.12 = 33,223.92/x
  3. Step 3: Cross multiply
    47,584.62x = 65,600.12 × 33,223.92
  4. Step 4: Simplify right side
    47,584.62x = 2,179,493,138.87
  5. Step 5: Solve for x
    x = 2,179,493,138.87/47,584.62
  6. Step 6: Final answer
    x = 45,802.47

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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.