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Finding the Fourth Proportional to 37,684.36, 52,004.38 and 20,917.32

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Solution

The fourth proportional to 37,684.36, 52,004.38 and 20,917.32 is: 28,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684.36 : 52,004.38 = 20,917.32 : x
  2. Step 2: Convert to fraction form
    37,684.36/52,004.38 = 20,917.32/x
  3. Step 3: Cross multiply
    37,684.36x = 52,004.38 × 20,917.32
  4. Step 4: Simplify right side
    37,684.36x = 1,087,792,257.86
  5. Step 5: Solve for x
    x = 1,087,792,257.86/37,684.36
  6. Step 6: Final answer
    x = 28,865.88

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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.