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Finding the Fourth Proportional to 36,873.64, 55,310.64 and 9,171.64

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Solution

The fourth proportional to 36,873.64, 55,310.64 and 9,171.64 is: 13,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,873.64 : 55,310.64 = 9,171.64 : x
  2. Step 2: Convert to fraction form
    36,873.64/55,310.64 = 9,171.64/x
  3. Step 3: Cross multiply
    36,873.64x = 55,310.64 × 9,171.64
  4. Step 4: Simplify right side
    36,873.64x = 507,289,278.25
  5. Step 5: Solve for x
    x = 507,289,278.25/36,873.64
  6. Step 6: Final answer
    x = 13,757.50

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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.