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Finding the Fourth Proportional to 47,224, 65,169.16 and 28,361.28

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Solution

The fourth proportional to 47,224, 65,169.16 and 28,361.28 is: 39,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,224 : 65,169.16 = 28,361.28 : x
  2. Step 2: Convert to fraction form
    47,224/65,169.16 = 28,361.28/x
  3. Step 3: Cross multiply
    47,224x = 65,169.16 × 28,361.28
  4. Step 4: Simplify right side
    47,224x = 1,848,280,794.12
  5. Step 5: Solve for x
    x = 1,848,280,794.12/47,224
  6. Step 6: Final answer
    x = 39,138.59

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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.