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Finding the Fourth Proportional to 38,147.64, 57,220.25 and 11,845.32

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Solution

The fourth proportional to 38,147.64, 57,220.25 and 11,845.32 is: 17,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,147.64 : 57,220.25 = 11,845.32 : x
  2. Step 2: Convert to fraction form
    38,147.64/57,220.25 = 11,845.32/x
  3. Step 3: Cross multiply
    38,147.64x = 57,220.25 × 11,845.32
  4. Step 4: Simplify right side
    38,147.64x = 677,792,112.50
  5. Step 5: Solve for x
    x = 677,792,112.50/38,147.64
  6. Step 6: Final answer
    x = 17,767.60

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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.